Not quite sure on this one.
On my site, I get a push notification every time something happens, as expected. However, 9 times out of 10 it’s something like “upload a favicon for apple devices”, “a theme has an update”, or in my case, “smtp is misconfigured”. I get a notification every few days reminding me that I haven’t setup my smtp proxy for the site which currently has no users. Half of the time, the issue is something which can be fixed in a rebuild (such as theme updates, discourse being out of date, etc)
A while ago, there was a discussion to add an option to outright disable it:
I dont think completely disabling it is the right path, more just disabling the spam and making it less persistent to change something minor.