Last year I was at a Disney hotel and needed a ride to Daytona Beach. I didn't think it would be a big deal. I was wrong.
Six different Lyft drivers cancelled. One arrived and then tried to get me to pay cash. He said that Lyft would only pay him $50 for the trip. I said that I understood but I wouldn't do it, and that he needed to cancel the ride so that I wouldn't get charged a cancellation fee. He did cancel.
I switched to Uber and finally got a driver.
From the time I started trying to request a ride, it took at least a half hour to get a driver.
Your situation is different because it's probably more typical for people at the Tampa airport to be requesting a ride to a Disney hotel. But if you need a ride back to the airport, I don't know if you would end up in a situation like mine.