> In most of the parking spot, if you read the terms it'll say they don't assume any responsibility for the car.
Lots of people post disclaimers claiming they aren't responsible for anything, so that you don't try to hold them accountable. Fewer of those will hold up as having as broad of a legal effect as they claim, but if they stop you from pursuing a claim in the first place, it doesn't matter if it has any legal effect at all.