The way the question is posed, the runway is engineered to move exactly as fast as the wheels turn. So this talk of the wheels turning twice as fast as the runway moves runs afoul of the hypothetical.
The hypothetical asks if an airplane could thrust forward and ultimately take flight in a frictionless environment at the wheels. Obviously a large enough rocket could do it, since we have managed to send space shuttles into flight at ninety degrees to the horizontal, overcoming 100% of the force of gravity. Whether a jet airplane could do it is far from obvious.
If the hypothetical is taken at its word, the feat is exactly the same as an aircraft hovering in air and then achieving flight. It's possible, yes, but there is no commerical aircraft that can do it.