We originally stayed at the Hyatt Grand Cypress for our honeymoon, Sept. 1993. The room was a drab business hotel room, no balcony, and the staff couldn't care less that we were on our honeymoon. We went over to the GF, asked to see a room, and were blown away by how the friendly the staff was. They had a walk in rate, so we packed up after 3 days at the Hyatt, and next morning checked out. I even told the staff that we were leaving early because they were so rude - they didn't care! Got into our room at the GF at 9:30 am, and loved it! Ordered coffee from room service (this was a splurge as we were newly married with almost no money) but the way they brought it was so sweet - set a tablecloth on the little table, handed me the paper (I'm in the plush robe) put water and a flower on the table, and poured the coffee for us. It was like - okay no we're really on a honeymoon! We even tried to change our return flight home to stay at the GF longer, but we couldn't afford the change fees for the flights. It was 4 nights of heaven after 3 nights of feeling like we were on a business trip.
It is a hard call if you have free flights. If you have to stay at the Hyatt, maybe you can get an upgraded room or a suite, or something. I'm sure a lot has changed in the almost 14 years since, but I felt the Disney hotel had such magic.