Yes, that is not the question - but it applies because the way the wheels react to the treadmill must remain constant as well.

If you believe the plane remains staionary on the treadmill, then the planes front wheels must also remain staionary on the readmill while the rear wheels (not on the treadmill) do not - as in the front wheel driven car; or that the plane stops moving once the rear wheels are on the treadmill - as in the rear wheel driven car.

In either case, you must now claim that the either the front or rear wheels are no longer free spinning, which they are.

So I ask you this question - what keeps the airplane stationary on the treadmill?