No difference from using Tapatalk, IMO, though their notification system has been buggy of late for me.
Tapatalk has been broken for various forums going on 6 months now, so having Safari push notifications would be useful.
Unfortunately despite lots of articles reporting on Safari web push notifications in iOS 16.4, that’s not what was added. iOS 16.4 added web push notifications for Home Screen web apps. If a web site isn’t a web app or not added to the Home Screen push notifications won’t work.