Hoosie, your example is flawed. If someone stands on the ground holding the handles of the wheelbarrow, of course the wheel will speed up or slow down with the speed of the treadmill, but it is only the wheel. The person is acting as an anchor. Again, the body of the wheelbarrow is not moving forward or reverse. Also, how does this even relate to an airplane if it was on the treadmill? Is there a wheel (tail or nose wheel, doesn't matter which) that will not be on the treadmill? If this is the case, again, the wheels will spin but the airplane will have no forward momentum, as the person. Therefore, no airflow over the wings of the relative wind (only the wind blown by the propeller, which is no where near enough airflow).