I had the opposite experience. It was my DD and myself. After a few days with a minor ear ache and treating it with Tylenol, the pain worsened and she developed a fever, and the Tylenol wasn't cutting it anymore. With no rental car, I called our hotel front desk POFQ for help, and all they could do was give me the number for a taxi to Celebration hospital ER (this was several years ago, before the days of Uber). However, the cab, while not free, waited for us (he didn't have to do that) and the care she received at the ER was excellent. Plus they never billed us for our deductible, so there was some magic after all! However, Disney did not go out of their way at all. So they may, like the previous poster experienced, or may not, just have a plan B.