Imo, you already lost the argument when you have to explain that PWA is the "app". For most users, app is something they install from App Store or Google Play. I get the point of view from developers point of view, but unless the majority of the users are technical people, there's no reason to use PWA these days.
The problem is if we dont have it available, we can't get the users to use it even if we wanted to. <
Idk if its not in their best interest or something, but app stores should just allow installing an "app", which is really just a bookmark to website and hides all of the normal browser UI without having to bundle the entire browser with the app.