You're probably grasping at straws. The empty (tare) weight of each vehicle is different. It will depend on the individual body style, size and type of engine, size of fuel tank, and amount of fuel and internal packing material and moving equipment onboard. There could be thousands of pounds of difference between two similar units sitting side by side.
If you were moving interstate under the terms agreed to under an actual weight estimate, by law
How must I determine the weight of a shipment? - Federal Motor Carrier Safety Administration, the driver is required to record the empty (tare) weight on the bill of lading before he starts loading. If he was prevented from obtaining a MT weight prior to loading, you can request to witness a backweigh or reweigh.
If you're dealing with a rogue mover, all bets are off. You can call a lawyer but chances are the expense of pursing it in court are far greater than what the situation has already cost you.
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