I've changed the push notifications policy as follows:
For pending messages, pending subscriptions, spam resub, join group, and create subgroup moderator notifications, if your action generated the notification, you will not receive a push notification. You will continue to receive an email notification.
For spam unsubscribe notifications, you will continue to receive push notifications for your own spam unsubscribes.
For storage overage notifications, since they aren't generated necessarily by a single person/action, you will continue to receive those push notifications regardless.
Again, this only affects push notifications, and only if you have them set up.