The case for not replying to emails.
I used to be meticulous about keeping inbox zero until I hit a middle-management-esque job where I was getting like a hundred of the things a day. So in defense I started instituting the Mustrum Ridcully Method, i.e. assuming people would just come in and tell me anything actually important, at which point I’d find the associated email and action it.
I can’t quite get away with that any more, but I still don’t reply to everything and don’t really worry too much about stuff “backlogging” and… yup. Yup, I can definitely recommend it.