When I receive "unimportant crap," I either unsubscribe to the list that sent it, or mark it as spam.
I do not leave crap lying around and then add another management dimension to my Inbox to deal with it.
I do not leave crap lying around and then add another management dimension to my Inbox to deal with it.
Plus, it has the added benefit that emails which land in anything but the main inbox don't notify your phone, removing a distraction.