I just made ressies this morning at the POR and got a AAA discount, even though I don't have a card right now. They didn't even ask for one. I just asked for the discount, and the CSR actually told me to check back often to see if discount codes would be available that would make the rates even lower. She did let me kn ow that I had to have the AAA card with me when checking in to get the rate.
I know the Swan and Dolphin are not actual Disney resorts, but I tried to make ressies for the same dates there with the AAA discount, but they were not available, which is why we booked at the POR.
I even called the AAA travel center directly and let them know that I did not have a card yet, but was just interested in the rates if I were to become a member, and the CSR there checked for me. It was the same as quoted by Disney.
Linda