Mostly it will be sewn up by insurance companies & loss adjusters. The leg work is done doing the value/cost stuff with the owner. The adjuster takes 10% of the claim to sort it all (generally by bumping up the claim a bit) and then passes it on. The insurance company will ship in loads of tradesmen to do the work from people they have on their books.
The uninsured will probably sit and fester until they can afford to do something and struggle to get anyone as most tradies will be on the payroll of the insurance company.
You may be able to get work from the uninsured but it may be very soul destroying and hard to actually charge people who have lost a lot a sensible price. If your not careful you will end up loosing money or becoming fairly cold and heartless.
What do you actually do?