@jpm Welcome to the forum!
As far as I see it, this is already possible for the browser extensions via this setting in the Notifications:
… and on the Android mobile app as well… via this setting:
It doesn’t seem possible on iOS though… but there is an existing feature request for the iOS app regarding this:
(Edit: Posted the right feature request now… Previously, I posted a wrong feature request (Bring 'Auto fill and save' to iOS), that didn’t correspond with the request here.)
And all other BW apps (web vault, desktop app, CLI) are not relevant here at this moment in time.
So I’m going to close this request now and you are welcome to join the mentioned feature request.