A) Gear that definitely requires Matrix access to work, due to needing external information feed or connection:
Survival Knife: AR-display GPS functions, can be used to make comm-calls.
Autopicker: DP bonus to pick a lock, due to accessing online database of locks.
Micro-tranceiver: Range becomes 'worldwide'.
I can think of a few other reasons for the Autopicker, but I don't really disagree with anything here.
B) Could possibly gain benefit from accessing Matrix, but iffy - Some might benefit from accessing external databases, others might gain benefits from environmental info from sensors in the area, and so on, but it could be argued they could function without it:
Monofilament Whip: Free Action to activate instead of Simple Action, retract instead of entangling on a glitch, +2 Accuracy
Concealable Holster: Alter pattern and color in real time improving concealability.
Smartgun System: DP bonus in addition to the normal Accuracy bonus.
Flash-Pak: Pak avoids directing flashes at subscribed characters, reducing penalty
Thermal Damping: Additional data from surroundings adds a DP bonus to Sneaking.
Bug Scanner: Substitute device rating for Electronic Warfare skill.
Vision Enhancement: DP bonus in addition to the Limit bonus on Perception visual skill tests.
Spacial Recognizer: DP bonus in addition to the Limit bonus on Perception audible skill tests.
Maglock Passkey: +1 bonus to rating.
Sequencer: +1 bonus to rating.
Medkit: DP bonus in addition to the Limit bonus on First Aid skill tests, or by itself at ratingx2.
Datajack: Adds Rating 1 Noise Reduction
Skilljack: "The extra boost from the Matrix" increases the total max combined Skillsoft ratings from Ratingx2 to Ratingx3
Skillwires: +1 Limit to skillsoft tests due to expanded memory cache.
Gas Mask: Mask analyses air around you.
Hazmat Suit: Suit analyses environment around you.
White Noise Generator: Triple effective radius of effect.
Pretty much this entire list is stuff where the distributed computing angle works quite nicely.
Monofilament Whip: New generation monowhips include nano scale control units that enable the device to make use of distributed processing to make calculations to avoid harming the user, becoming entangled, and to more effectively strike the target.
Concealable Holster: Distributed processing allows for accurate, real-time corrections.
Smartgun System: Distributed processing allows the system to correct for flaws in the weapon itself and to provide the user with an appropriate "lead" on the target; it also allows for the system to determine and display how far (as a vector) the last shot was off target, helping the user to correct their aim for last-minute deviations in their shooting.
Flash-Pak: Processing resources are needed to determine how to spread the flash about. Addtionally, running these through a wire is simply impractical.
Thermal Damping: Additional data is already mentioned, but it may also process the precise alterations needed to truly blend your thermal signature using distributed resources.
Bug Scanner: Uses distributed resources to run bottom up analysis to allow it to more accurately identify bugs, resulting in fewer false negatives when used by an unskilled individual.
Vision Enhancement: Local processing uses a top down algorithm (the same general method as human perception uses) due to the speed advantages, while the distributed version uses bottom up processing and connects to remote databases of visual profiles that are constantly being updated and made more correct.
Spacial Recognizer: Local processing uses a top down algorithm (the same general method as human perception uses) due to the speed advantages, while the distributed version uses bottom up processing and connects to remote databases of aural signatures that are constantly being updated and made more correct.
Maglock Passkey: More effective, but less time-efficient algorithm used in distributed processing.
Sequencer: More effective, but less time-efficient algorithm used in distributed processing.
Medkit: More effective, but less time-efficient algorithm used in distributed processing. Distributed processing allows advanced heuristic algorithms to be used for autonomous operation.
Datajack: Matrix connection is used to analyze Noise patterns in the area in comparison to a baseline and correct for them.
Skilljack: Some memory used from various devices in the surrounding area.
Skillwires: Some memory used from various devices in the surrounding area.
Gas Mask: Processing resources come from distributed computing, connects to databases to identify substances
Hazmat Suit: Processing resources come from distributed computing, connects to databases to identify substances and hazards
White Noise Generator: Other audio-generating devices in the area assist in the broadcasting of white noise.
C) Requires some kind of remote connection, such as radio or cable link between device and user, but not actual Matrix access - although the remote connection COULD be routed through the Matrix:
Thermite Burning Bar: Ignite bar remotely.
Defiance EX Shocker: Successful hit transmits target's health status.
Yamaha Pulsar: Successful hit transmits target's health status.
Parashield Dart Pistol & Rifle: Dart reports back to shooter about successful injection, and some basic medical info of target.
Ares Antioch-2, ArmTech MGL-12, Aztechnology Striker, Onotari Interceptor, all Grenades, Rockets & Missiles: Use Wireless Link trigger even without DNI.
Airburst Link: Must have Wireless mode on to function at all.
Imaging Scope: Share camera feed with teammates.
Smart Firing Platform: Control platform remotely.
Detonator Cap: Set detonator's timer with a Simple Action, or detonate immediately as a Free Action.
Data Tap: Self destruct remotely as Free Action.
Sensor Tags: Monitor sensor feed in real time
Jammer: Set jammer to not affect specific targets
You have a point with these ones - their bonuses should work if you somehow manage to be in a dead zone without a satlink - but in almost all cases, the actual connection you'd be using would be wireless still, and all wireless connections are Matrix connections unless you're in a dead zone without a satlink.
D) Assuming inductive charging at range even works, requires being in an area with wireless signals, but the devices are not actually using them to communicate, just siphoning power, and as such they shouldn't be vulnerable to hacking:
Shock Gloves: Slowly recharge via induction.
Stun Baton: Slowly recharge via induction.
Fichetti Pain Inducer: Slowly recharge via induction.
Riot Shield: Slowly recharge via induction.
Tag Eraser: Slowly recharge via induction.
Given that they're getting their charge from other wireless devices, it may well be that it's actually using the same hardware to charge as it does for its wireless transceiver (which, from a certain perspective, would actually be kind of awesome and help explain why battery life isn't a concern for most stuff). A little strange, but not strictly nonsensical.
E) Requires DNI to work, but not remote connection - most of these are "operates faster because commanding with your mind is faster than doing it with your meat hands".:
Forearm Snap-Blades: Free Action to activate instead of Simple Action.
Extendable Baton: Free Action to activate instead of Simple Action.
Telescoping Staff: Free Action to activate instead of Simple Action.
Bipod/Tripod: Free Action to activate/stow instead of Simple/Complex Action.
Gyro-Mount: Free Action to Quick Release instead of a Complex Action.
Hidden Arm Slide: Free Action to ready weapon.
Electrochromic Clothing: Free Action to alter color instead of Simple Action.
Chemical Seal: Free Action to activate instead of Complex Action.
Fingertip Compartment: Accessing compartment is a Simple Action rather than Complex.
Internal Air Tank: Activating/Deactivating tank is Free instead of Simple, tank reports current air level.
Smuggling Compartment, small & large: Accessing compartment is a Simple Action rather than Complex.
Cyberarm Gyromount: Free Action to activate instead of Simple Action.
Cyber Holster: Free Action to ready weapon instead of Simple Action.
Reaction Enhancers: Allows stacking with Wired Reflexes.
Wired Reflexes: Allows stacking with Reaction Enhancers.
Yeah, these are some of the truly odd ones - but again, in many cases, a wired connection would be impractical and a wireless connection is automatically a Matrix connection.
F) Shouldn't require ANY connection to ANYTHING outside the devices to work. These should work by means as simple as pressing buttons. Seriously.:
Fichetti Tiffani Needler: Change color of gun as a Simple Action. (Apparently you can't change the color without it)
Gecko Gloves: Shut off stickiness wirelessly.
The Needler seems like it would need a decently complex interface, and so far as the gloves go you really wouldn't want the risk of them accidentally turning off because something brushed the switch mid-climb.
G) The "Wait, what?" category. I'll elaborate on each one:
Silencer/Suppressor: Built in microphone can detect if someone reacts to the sound of the silenced weapon.
So you have a microphone, and presumably some system that can figure out from the varying sounds around you if someone noticed you firing the silenced shot. Despite silenced shots not actually being silent, most are actually pretty freaking loud, just not quite as loud as they would be without the silencer. Okay. Why does this thing need to connect to the Matrix before it can alert you to the incoming opponents?
Laser Sight: +1 DP bonus in addition to the normal Accuracy bonus
It's a laser. It makes a dot on the target. The bullet goes where the red dot grows. If it did any kind of target prediction or tracking, it'd be a Smartlink, not a Laser Sight.
Periscope: Reduce the DP penalty for shooting around corners to -2
This is more a clear mistake than anything else - the listed Wireless Bonus is exactly the same as the regular non-wireless bonus. You use the periscope without the Matrix, it sets the penalty to -2. You use it with the Matrix, and... it sets the penalty to -2.
Hydraulic Jacks: +1 DP bonus in addition to Limit bonus.
So the Matrix makes my legs jump even harder? Wait, did my name change to Neo or Morpheus now?
Trauma Patch: Patient stabilizes automatically instead of having to make a test.
How? What? I don't even...
Silencer/Suppressor: Built in microphone can detect if someone reacts to the sound of the silenced weapon.Presumably a pretty serious amount of processing would be required to go from audio information to an actual determination of whether or not someone is reacting to it.
Laser Sight: +1 DP bonus in addition to the normal Accuracy bonusAdjustments made for range and imperfections of the weapon, perhaps?
Periscope: Reduce the DP penalty for shooting around corners to -2On the errata list, from what I understand.
Hydraulic Jacks: +1 DP bonus in addition to Limit bonus.Assuming there's more precise control than straight up-and-down, it could in theory alter the specific operation to optimize it for your stance, weight distribution, and so on. Possibly. Maybe.
Trauma Patch: Patient stabilizes automatically instead of having to make a test.Nanotech needed to explain this on, but if there is nanotech in the patch it would possibly be using the distributed processing resources to diagnose the injury and better treat it.
So there ARE explanations for a lot of them.