Disney wouldn't owe its guests anything except protection, shelter, and sustenance during any time that they're trapped in the parks or the resorts. No apologies, no perks, nada. It's the weather, and the weather does what it wants to do.
As for the experience, though... I'm old enough to have been in Houston when Carla came through. The eye didn't hit us, but it was close enough that there was extensive damage and some neighborhoods were without power and even water for days, and a few for a week or more.
First, sitting through a hurricane is sort of an adventure, as long as you don't lose power or have any damage that has an immediate effect on you. It's almost (not quite) fun. As said above, it's the aftermath that really sucks. Sort of like a car wreck, where the excitement is over but the clean-up seems to take forever.
Second, considering how much I'd have spent to get to Disney, I'd be majorly torqued. Not at Disney, because it wouldn't be their fault. Not at anybody or anything, in fact. Just -- really steamed in general. At the inconvenience, at the fright (yeah, they're scary), and at the wasted money. THAT would make me mad, and I'm afraid it could sour me on the whole Disney idea.
So, I think I'll keep an eye on hurricane tracts, and NOT go during hurricane season. You can't adjust Disney quality plans on the short time frame that hurricane evasion requires, so best to just avoid the issue entirely and avoid that time of year.