One thing to keep in mind is that since I couldn't begin to comment on what an "average" home game look likes across the broad spectrum of players our hobby has, my perspective is colored from a Missions lens.
Chicago had over 80 Missions. Neo-Tokyo is going to have at least 30 at minimum. That is the opportunity for quite a lot of karma/nuyen if you consider the average take away is about 6.5/10,000 per Mission before being adjusted by working for the people/man.
That makes raising magic, initiating, and spending karma and nuyen on foci a guarantee. Even in very short game of maybe 5 sessions I would still be throwing my money at initiation and foci because there is literally nothing non-magical that I could purchase that would enhance my character a fraction as much as those two things would. That is just me, however, as I tend to be more than a little bit of a min/maxer.
Shinobi brought up a point I find interesting, which is that he likes the mage to be the swiss army knife. My experience in most every game has been that pretty much all classes/archetypes/builds/ect. can be more than acceptable at killing things if you spend your creation resources to do that. Combat is such a big part of most games that the ways you can successfully build a killer are staggering. Many time, especially with the combat oriented sorts, you wind up with little capability outside of killing. So when you build that skill focused face or decker in shadowrun, that ranger/rogue in dnd to maximize your skill points, that knowledge and lore dot specialized Brujah scholar in vampire but the mage/mage/blood mage (respectively) just cast a spell (or usually ritual in vampire) and do what you do, often better than you do, it really sucks the wind out of the sails of other utility PCs.
I liken the perspective to "Man, I sunk 1/3 to 3/4 of my character's starting resources into being able to do these things for us, but that mage does it all as well or better with just 3/10 of his spells.".