Are destructive tornadoes good for local economies?

I’m thinking of the neighborhood-busting tornadoes that passed through central Alabama last night.

Putting aside the five people who died (fewer than were killed in Boulder earlier this week), it seems like destruction of homes and neighborhoods is a significant business opportunity for:
– contractors
– builders
– carpenters, plumbers, and other trades
– paint stores, carpet stores
– appliance stores
and so on.

Does the economy actually benefit from destructive storms?