Show me a view of both the airplane and the truck, plus the full length of the tarp (conveyor). Then show me where the tarp (conveyor) had absolutely no give or stretch capability. Recall the holes torn in it just by running on it in shoes?
Last, let's have calibrated speed monitoring and throttle control.
Even after that, it seems the premise changed from the original question I first read a couple years ago.
For example, the throttle advances only to the point that equals the resulting speed equivalent to the conveyor. If a fixed prop is determined to effect 25 MPH with 2000RPM then that should be a calibrated setting. Then, calibrate the conveyor to be at a speed of 25MPH.
By what everyone is saying, with a "two-thousand foot" conveyor and that same STOL aircraft, you should be able to begin the conveyor rolling and at first the aircraft will move backward on the conveyor. But, then if the aircraft's throttle is advanced to the calibrated setting for that 25MPH, the plane should take off by what everyone is saying. It shouldn't matter that it's initially moving backward. Right?
It's gonna drive me to drinking. In fact, I'm gonna have a Coke for lunch!