Currently in the "new experience" on sites, the Notification icon and dropdown shows notification from ALL sites on ALL accounts a user has access to. The user can then choose to set the settings to this site only, but it defaults back to all each time a new site is visited. Also the manage notifications only takes you to notifications from current site, so the users might accidentally turn off notifications from the wrong site.
From a learning perspective this is not a good strategy. Learning environments should be as distraction free as possible, and getting notified about events on other sites and even other Simplero accounts is a huge distraction.
So my suggestion is, that the notification icon and dropdown only shows notification for the current website I'm on (same should go for the chat btw). I really don't want my students being attracted to other peoples Simplero accounts while going through my courses or participating in my communities.