Hi all, it is really take time but finally iOS and Ipad 16.4 beta1 are support web push! So notifications from web app can display on the lock screen, in notification center now. From now on, any home screen web app can request permission to receive push notification and you do not need to be a member of the Apple development program to do that. And like typical iOS push notification, user can manage it thru website menu in safari or device setting app likes other app. For more detail pls visit - https://developer.apple.com/videos/play/wwdc2022/10098/

Same issue here after couple time remove from System preference panels, re-install, and restart machine. Xcode 13.0, Big sur 11.6