Sometimes we're told the resort is booked and no late checkout. We've gotten 1 PM several times and told we could get later if we paid $$$$.
Swan and Dolphin are not Disney properties and Starwood advertises late checkout, when available. We've asked for late checkout twice in the last few years and were told the resort was full. Once, they offered us the use of a hospitality room, but we chose not to do that. We have gotten 3 PM check out there, but it's been more than 5 years ago.