Merry
I would fight that. If you are paying for the room, the credit for the night is yours, regardless of whether you were in the room or not.
I routinely do exactly that...I was long term in Chicago a few months back. I was at the Schaumburg for about 4 months and never checked out. Three times I moved into a Courtyard in Arlington Heights since it was closer to the office! I also did Marriott's outside of the city and state. I have always recieved 30 days for the Schaumburg stay plus all my other stays.