That's a good question....sorry I don't have an answer. Since the Swan and Dolphin are not Disney resorts I would guess no. This will bump you to the top for people who have the definitive answer.
The Swan/Dolphin has alot of discounts. They also offer the nurses, teachers and government employees discounts. I'm not sure but maybe even AAA. Just call them.
Go to their site; lists AAA, Gov.,promo rates and senior rates. Or the above mentioned sites offer AP/FL resident rates. Or go to the Starwood Preferred guest site from the link on the main site and they have even more rates or pkg deals. AP/FL resident rates seem to carry the biggest discount.