I doubt a month is going to hurt anything if the fuel is fairly fresh. I store with Sea-Foam in the system and I don't drain the carburetors.
What if one month turns into three or four?
Well, that could happen. Then I'd make sure somehow to get Sea-Foam thru the system. When I store all my junk for the winter [ usually 6 months] there is Sea-foam thru the fuel systems.