Biggest differences:

- You can fairly easily list them in the Google's app store, whereas they are basically banned from Apple's app store

- iOS/Safari is much more aggressive about deleting data from PWAs

Much better but only slightly more popular. Partly because the Play Store ecosystem treats wrapping PWAs as a first class use case and you don't even have to source APKs from the official store anyways - so there's not much to gain by delivering via "true" PWA. Apple goes more the route of the stick than carrot.