I don't mind email mailing list stuff as long as there's enough information in the subject to know I can delete it. 25% off Sorel boots? I'm not in the market for new boots. Delete. Dawes playing at a local venue? I'm not a fan of Dawes. Delete. It's very low impact. Notifications, though, had better be important. If you're going to pop up and distract me, it better be something I want to see. Otherwise I'm either going to turn off notifications for your app or delete it entirely.
Wait, there are games who put ads into notifications? Holy shit, that would be immediate uninstall-and-nuke plus scathing review for me.
Yeah man, I recently uninstalled a game and left a one-star review for pushing me a "reminder" to play because something or other was probably "missing" me, you know that sort of thing. Not sure if you're talking about this or actual third-party advertisement being pushed. I don't know if this is somehow okay for some people now, but I grew up desktop gaming and this is bizarre to me and generates in me vaguely old-person thoughts and fear about how the norms may be changing now against my favor. But at least I can change things on my own phone and I like it when applications speak when spoken to ... technology is becoming impertinent. :P