An app that has been force quit can still receive remote notifications just fine. I don't think the average users knowledge is so nuanced that they understand the distinction between a remotely-sent notification that always appears and a locally generated one that's the result of a background process that doesn't.

I think most users expect to receive notifications from apps (especially communication apps) even if the app doesn't appear in the App Switcher carousel. What people expect from their phones and computers are wildly different here.