The Captain cannot legally depart without a loadsheet so if you take both copies he's not going anywhere. I agree with everyone who has said that they would not let the Capt depart until the difference of opinion had been correctly sorted to everyone's satisfaction.
If the worst happened and the aircraft crashed and the flight deck were killed there would only one person in the dock defending the paperwork and that's the despatcher. Until a/c is able to move under its own power the ground staff have as much responsibilty for its safety as any Captain.