Better phone integration = more spying not less.
Constant updating regardless of whether you really need it = fomo inducing and battery killing.
Installed directly from the web = new security risk
The PWA gets an app icon on the device = So like a bookmark link then.
Once installed, the PWA can be launched as a standalone app, rather than a website in a browser = So you could lose browser functonality, like link, bookmarking, save page, copy and paste.
PWAs can be integrated into the device = more bloatware you can't remove.
PWAs can use the whole screen, rather than running in the browser UI = Eh? My browser shows full screen as default and tbh it's kind of annoying.