There's a web feature for push notifications; I got a dialogue box asking me if I wanted to enable it for Facebook the other day. It was easy enough to push No (since push notifications were one of the reasons I got rid of the @#$%er in the first place), but many people will still get those.
The fact that you can choose no is precisely what makes the Web so good. The fact that you can block ads at all, that you can disable JS, that the Tor Browser bundle can be so simple to use, that you can easily get URLs to things, that you can copy text, are all huge benefits of the Web.
Ever tried getting a URL to some Facebook content on mobile? The only way that I've found is to "Send as Message" (Facebook for Android only implements sharing inside Facebook, there's no way to share via email or anything like that), choose myself in the contacts list, then go to Messenger, open the link in a browser, and copy the URL from there. It's infuriating.
Really? Huge difference? I would say about 20% (being generous with that number) of the good apps that I install try to misuse the notification. I don't find it that hard to disable the notifications for them. The benefits of notifications outweigh the spamming by a lot.