Evreryone gave really good ideas, above.
I was thinking about people not wanting to leave their homes because of looting, which often seems to happen after a disaster when everyone is away, and structures are ripped open. People want to stay and secure their items.
Pets are another biggie, as mentioned above. One ore two cats or dogs may be do-able, but with a lot of pets, or some pets which are hard to move, it could be tough.
Being poor with no money for gas or having a crappy car which might not make it for a drive of hundreds of miles, that could be a big consideration for people. The money issue described so well by @Pandora, with people having to miss work or the job expecting them the next day, that would be a big deterrent.
I have friends on the east side of Florida, and I see them posting parties at outdoor bars during the hurricanes and tropical storm watch. I guess all the yahoos come out and use it as a reason to get drunk, in solidarity.
Here in NY, we have had a few bad hurricanes in the past 10 years or so, and one time, I went to my mom’s and we stayed at a hotel. It was a Doubletree, and they charged us $350 a night which was the rack rate, meanwhile, a typical Doubletree stay would have been about 150–200 a night. I called up and told the Manager that for 350 a night, she could at least give us free breakfast, and so she did. We had the last available room in the hotel. The hotel had power, we did not have power at home and it was end of October so it was cold. We stayed three nights, I think.Another time, we stayed at a friend’s time share up in Massachusetts. It was two bedrooms, so my parents and my daughter came, and it wasn’t a bad stay, but we were there 8 nights. Thank God for my friend having the time share with the flexibility for that last minute stay. For that one, there was no power at home, but power at the time share and also, at home there were stories about long gas lines and no gas at a lot of places, and in Massachusetts there were no issues with that.
When we’ve had no power for bad storms, my neighbors hunker down or they have generators and they just stay home and deal with it. After those storms, the power companies have trimmed a lot of trees that are near power lines so we’ve been lucky for the past few years.