I (think I) prefer how admin notices currently work because they give direct (important) feedback to users.

It sounds to me that the most important reason one would prefer a notification center is because some developers misuse/abuse this important feature and are in need of some kind of notification spam box?

I wonder if such notification center would increase the number of support tickets because users missed the notifications?

I would rather like to see that plugin authors stop (or are made to stop) with this unwanted practice.

Maybe it should be possible for a user to mark a notification as spam and block any notifications from the offending plugin from that moment on? In that case there must be a way for the user to find out which plugin is spamming them. Maybe in that case the spammy notification should become visible in some kind of spam box and of course there should be a way to unblock a plugin (maybe always after an update)?

Just some ideas ... I am clearly not 100% sure what would be the best solution ...