My take on it is that frequent users perceive apps as desktop launchers/shortcuts.
They don't care about the difference between app and web, per se, but the bookmarking situation in mobile browsers is awful (desktop too, honestly), and an app presents a convenient launcher for the service/site/data they want.
Adding a springboard launcher for a PWA is easy but still apparently more frictional than installing an app.
if you ever end up making one im very very curious about how much market share that would gain