Agree with BigPoppa there.
Just because it's a flatbed does NOT mean it's set up to tow a bike properly. If they don't have the tie down points / equipment set properly, you are going to get damage.
Typically a flat bed is sent out with ONE person to operate it. ie the tow truck driver. he hooks the car then drags it onto the bed.
so if that guy is operating the controls, who's sitting on the bike, keeping it upright during it's drag up the ramp? Unless it's something like a Tommygate setup, which you'd have to specifically request, that's going to be a problem.
Aaron