Thanks folks. As it turns out I don't think I need actual numbers. I laid down a 30 foot tape measure on the floor as straight as I could, taped the iPhone in video mode to the pallet jack battery, aimed at the tape measure, and did some trial runs following the tape measure as best I could. That, combined with the sounds from the jack, make it pretty obvious the sudden increase in speed.
On the theory the manuf. will think I'm "gunning" the throttle, I made another video aimed at the throttle handle. Put a temporary witness mark on the handle, turned the throttle as carefully and slowly as humanly possible.... and there, it's even more obvious the sudden increase in speed. In other words, you turn the throttle and the jack moves slowly...turn it more, no increase in speed, still more and all of a sudden the speed doubles. Should be a seamless transition of speeds, but it very much is not. Not, to the point of being a little bit dangerous and downright irritating to use at best.
The purpose of the videos are to show the manuf. just how bad it is. They keep trying to convince me this is "normal" as the computer testing of the potentiometer shows all is fine and they really have no fix.