The logic is fine, but hit and runs just became a lot easier to get away with then no? Especially with tinted windows being so prevalent you very well might not even be able to give a description at all of the driver, and they can just later say they found their car like that.

Probably a lot of other issues arise from that. If your car gets towed for being illegally parked, what if you just say you didn't park it there? Seems like a similar violation to a red light ticket.