I don't think it is intrusive but I know it is there. In Forza the only place you see it is once you load the track you're racing on, you'll see it on the pre-race menu. It is a small 'Y' icon up in the corner with the message beside it that says "want to level faster?" or something like that. You have to look for it but it is there.
I haven't seen anything in Dead Rising 3 or Lego Marvel Hereos. In NBA2K14 it is an option in a 2nd or 3rd level menu (the menus are a mess regardless). Those are the only games I have so I can't speak to any others.