djcf I've also read that PWA can run in the background more like a native app
I have read similar things too. I presume it has to do with PWAs on desktop, but all I know is that on Android (at least GrapheneOS), PWAs are basically shortcuts to the website.
As for a custom DNS for content filtering, keep in mind that while it may prevent some ads and trackers from loading, the app can know that you are using content filtering, potentially increasing your fingerprint.