the answer to your question is: it depends!
are the two rooms on one reservation or two separate reservations? in aug '05 we had two rooms but one ressie for the first room w/all four of us on that ressie w/the ddp and the second room was room only w/AAA discount and all our credits were on the same cards and the second room's key was nothing more than a door key...
in jan '06 we had two rooms on two ressies, w/two of us on each ressie and had our credits separated by room occupant... and had to get separate checks everywhere we went so as not to have a problem...
we booked it differently each time because we ran all the numbers and went w/the scenario of whichever was less expensive... for our future trip w/free dining, it's coming out cheaper to have two separate ressies again... whatever saves!