> loading screens, push notifications

You seem to be laser-focused on this one tiny part of PWAs. There's way more too it than that, like offline support, background sync, etc. Imagine if you could press a button on the page to save that article you're reading for later, and have it available offline next time you need it.

Or what if you could write a comment while offline, and have it be automatically posted next time you have a connection. (Or optionally, have a notification pop-up next time you're online asking if you still want to post it.)

PWAs are just flat out _better_ than existing web apps. It's remarkable to me that so many people seem to be against these incredibly useful features just because the app they're using is web-based rather than native.