That sounds like it should work like that but, I had a situation where the other guy didn't have enough coverage to pay the claim for damage. He got a good deal on cheap insurance, like everyone thinks they have. In New Jersey you only have to have $5000 in property damage coverage to get a License plate. My damage, was twice that amount. Being it was a vehicle, I have to have uninsured / underinsured protection. I don't see how that would work with a building or house?. Or, if someone drives a stolen vehicle into your property. I believe the car or trucks owners insurance, does not provide coverage if the vehicle is used in the commision of a crime. Trying to sue people is mostly a waste of time. If they have nothing, you get nothing.,,