Doesn't matter that it didn't get airborne.... the point that should drive the argument home is the fact that the plane moved forward ~ the same speed with the treadmill STOPPED and with it running MANY times faster (in the opposite direction) than the speed of the plane. The treadmill is a distraction and has nothing to do with the motion of the plane.
The problem with your argument is that is the l
aw of conservation of energy. The treadmill is providing energy to the plane, the plane is using its energy from the propellers to overcome the inertia of this energy, which equals its own mass times the rate of acceleration, as well as any friction encountered by the treadmill and plane, which happen to be the wheels.
If the plane is not on a treadmill, it needs to overcome three (actually four) forces;
1. The inertia of its own mass (as discussed before)
2. Friction. This happens to be the wheels
3. Aerodynamic drag.
4. Gravity.
The reason the plane can go faster in the Youtube experiment is that it is not facing equal aerodynamic drag. Aerodymamic drag is an exponential force, as in the force encountered by an object at say, 100 mph is more than 2x the force than at 50mph. Because of this, the plane travels faster than it normally could, because the plane is providing more energy than the friction of the treadmill and wheels. Otherwise it would be a remote control car on stable ground, never being able to overcome its own inerta and friction
Most importantly, and in laymans terms, the youtube experiment showed that the treadmill never kept up with the acceleration of the plane (obviously) because the plane advanced in position versus the treadmill. That was the original question posted. In the youtube experiment, the treadmill could not keep up with the acceleration or speed of the plane, and never actually took off. There is no argument there.