Earlier quoted context omitted.
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.
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.
Also I don't think web views in most app stores (namely mobile stores) ship an entire browser. As a matter of fact you're literally not allowed to ship browsers in iOS and that's a huge slice of the market on its own.