I knew a plat premier who would, literally, stay checked in at a RI for months at a time while commuting home for the weekends. (By having his company pay for the room over the weekend, he was able to leave his clothes and other belongings at the hotel, instead of having to pay luggage fees and lug it all home every week.)

On some weekends, he would stay at a different Marriott instead of going home. As far as I know, he never had any problems with being credited for the concurrent reservations.