Regarding your point on consumers, we put our PWA/TWA into the app store (for the reason you outlined) - and now get a raft of negative reviews that the TWA is the same as the mobile site... Which is frustrating, because that's the point.
Making it clear why a TWA is in the app store is hard in itself. Trying to explain why it's better for consumers over a native app + mobile site is even harder.
See these reviews for yourself here: https://play.google.com/store/apps/details?id=uk.co.openrent