"We aren't responsible for damage done to your vehicle on our premises" signs mean nothing. Let me ask you this: Do you honestly think that the "This pool is unattended: Swim at your own risk" sign has kept 1 hotel from having their pants sued off when someone drowns in their pool?
Those type of signs are not a legal contract, in fact I don't even think that it would stand up in court if the said business argued that by using our pool or parking in our lot, you agreed to waive your right to sue them if something happened. I know several people who have taken local stores to small claims court and have won their case, even though the store argued that they had a sign. All a judge sees is that a sign isn't implied consent or a legal contract and that the business has deep pockets.
Those signs are an attempt by businesses to keep from being sued all the time. They know that if anyone is persistant that they will end up paying. However, they also know that most people won't try anything because they actually think the sign is true.