Re hurricanes
I've been a few times in hurricane season.
Once, the first time we went in fact, we encountered our only hurricane. It was Hurricane Charley in 2004. It was our first full day. We knew it was heading towards us and followed advice. We still went to the parks, but left when they closed due to the hurricane, at around 2pm. On our drive back to the villa we did encounter some heavy rains and winds. Ideally we should have left the park a little early as the roads were busy.
However, once back at the Villa, we closed in for the night. The villas and hotels near there are very sturdy and designed to take the hurricanes. Inside it felt like nothing more than a strong storm. It did knock the power out for an hour or two, but we managed.
The next day we had increased ants in the villa, apparently this is fairly common after a bad storm. The villa owners were great and sorted it that day whilst we went out.
Re the parks... well, they opened an hour later than usually and you could barely tell a hurricane had hit them.
The drive to the parks was an eye opener with metal signs pulled down, stuff strewn about, etc. We'd have had no idea if we'd been staying onsite really though, as there was hardly a leaf out of place!