Following Hurricane Sandy, many were left without power and ultimately even gas was strictly rationed. So it's not out of the ordinary to imagine an event like that happening.
This is a good point, Florida EV drivers have already found that EVs are more resilient in a natural disaster because the grid infrastructure supporting the fast chargers comes back online much faster than service is restored to gas stations.
EVs that have Vehicle-to-Load (V2L) capability are also useful in a natural disaster: You can use the EV as a big battery on wheels to power some electrical appliances - e.g. keep a fridge going or a light on, until the grid is back.
This is a good point for sure. I can run my house for most of a week off my Lightning. I wish my Model 3 had the same ability, maybe some day this will be a standard option on all EVs. It's such an obvious use case for a huge battery on wheels.
https://www.nj.com/news/2012/11/sandy_gas_ration_12_counties...