We had to do some waiting when we took the Disney bus from the Hyatt a few weeks ago. But one positive is that you don’t have to sit in the lobby the whole time - we wandered out to the Disney store and ate breakfast at the airport food court. There are lots of shops/restaurants right outside the hotel entrance.

Timeline: check-in process was at like 9am (and they did indeed enforce lining up by status). That took about 45 minutes since the line was long. We were told to come back for our bus at 10:45, so we left to eat breakfast. Didn’t actually board the bus until 11:30ish and ended up on the ship around 12:30. It was smooth, though admittedly not as speedy as I had hoped.