[Avatard]

Gentlemen: Since the plane is on a treadmill, it is not being forced through the air, creating an artificial headwind. The only thrust to create speed differential with the surrounding air is the plane's thrust.

If the plane is of a design as to have enough thrust to get airborne essentially with no headwind (at least none induced by moving the plane forward, which the treadmill assures cannot happen), and by its own thrust alone, then it will take off.

The freewheel on the tires is exactly doubled, as has already been said. I believe the frictional losses, if within the spec of the wheels, is probably relatively inconsequential.