If the plane moves at all, then it's by the thrust of its engines.

If the plane moves, then the conveyor moves in an opposite direction and speed.

The conveyor only applies rotational force to the wheels of the plane. The rotational force of the wheels is NOT then applied to the thrust of the engines; the two are not linked in any way.

Therefore, the plane moves independent of the wheel rotation, at all times. Hence the reason a plane can fly, yet the wheels are not rotating at all.

Don't make me go Newtonian on your ass...