heh should be easier to explain to gooseman as an engineer:
The wheels merely spin on their axis due to the movement of the belt goose; assuming zero friction between the wheels and their axels, the net force on the plane is zero. Unlike a car, a plane does not impart its thrust through contact with the ground, it does it through the air; therefore, the belt makes no difference to the plane's takeoff.
EDIT: In case you haven't read this already; most people intuitively believe that the movement of the belt counteracts the forward motion of the plane. Think about net forces on the plane regardless of belt speed, as I've said above. Also think about a plane taking off from a sheet of ice.