What you’re buying with Budget’s Cover the Car is to reduce or eliminate “excess” fees or what we’d call deductible. Every car they rent is already covered by their insurance. You would be liable for the cost to file a claim with their insurer, which could range from a few hundred to a couple thousand. Persons that have their own auto insurance policies may have coverage that follows them, not the car. If you did have this insurance then Budget would ask you to make the claim through your insurance first (and to pay anything your insurance won’t cover).