No. It's not a Disney rule, it's a Visa rule. Hotel stays are not allowed. Visa/Amex/Disc "gift cards" don't play by the same rules as store gifts cards. if you don't use them within a period of time (could be a little as one year), then they start deducting fees.
I hate them. I refuse to give them and on the rare occasion I'm given one, I use it asap.