If anyone can think of any reason (other than "fun" or "gamification") to keep this feature, please let me know, I've been trying to think of one myself but can't. Unless thee's some reason to keep it that I haven't thought of, I'm in favour of just auto-depositing payouts. There should be a notification, and an entry in the wallet, but that's about it.
EDIT: At the very least, make it an option (setting). If you don't want to have to click the button each time, you shouldn't have to, and you shouldn't be required to use a 3rd party service to make that happen.