Whether your webview app will get published in the app store depends on how "app-like" your PWA looks and if you get a strict app reviewer.
I instead add native components to the apps I create to make sure they look more like an app, which works well to get the app approved by Apple.
From my experience, push notifications are a very important feature too, almost all of my customers want that. I haven't found a way to reroute browser notifications to the app, so instead I use firebase to let my customers send notifications.