Given the way it is described, a modern (5e) Datajack appears to be a combination of a data cable reel and external antenna for your internal DNI. Same as attaching an auxiliary antenna to a wireless router to boost signal range. At least that is how I interpret the description.
Trodes are similar, essentially a hair net with a battery pack. You can connect it to your Deck with a cable, or just connect wirelessly from the Trodes to the Deck.
Nothing says they aren't wireless, and the book makes it clear that everything is wireless unless otherwise noted (throwbacks, etc.). Even Bone Lacing is "wireless" even if it has no game effect there are feedback sensors and stress load monitors that all have wireless connectivity worked into the titanium strands for quick diagnostics and status reports.
I fall on the side of the debate that says wireless DNI should be entirely acceptable. There is nothing in the rules to prohibit it, and the fluff supports it.
This comes with downsides though, as if you are wirelessly connected to your Deck (even if you have it on you) and you get hit with a powerful jammer it could generate enough Noise to break your connection to your deck and forcibly jack you out and cause dump shock. That risk becomes much greater the further you are from your deck, and the Noise between you and your Deck should stack with the Noise from your Deck to the Grid. You also lose the ability to manually reboot it if you are link-locked. It should be a rare situation for the Decker to try to hack when their deck isn't in their hands, just because of all the downsides. Everything has a price.
There are tactical purposes I can think of for using a Deck remotely: If you have to leave your bag with Security when entering a building; Hacking remotely from a cheap throwaway deck to rack up OS and intentionally instigate convergence at a location you are not at; Letting someone else sneak your deck into a secure building to direct connect to something.
However, most of the time it is just a bad idea.