I use Verizon for my N3, and have never had the app you're talking about ask me to update it, nor have I attempted to disable it. I've turned off auto-updates in the Play store, and turned off individual notifications in all apps except e-mail, gmail, etc.
It also helps, especially if you want more than, what, 12 icons per screen(?) to use an alternative launcher, like Nova.
My Magazine no longer works from the button or from "swipe up", unless I configure that gesture in Nova.
It also helps that I never sweat the petty stuff. Or pet the sweaty, etc.
I'm not always this crabby, some days I'm worse.