Heres another way for people to think of this that might help:
Because the wheels of a plane are free spinning, and not propelling it. no matter how fast the conveyor turns them it will have no effect on the plane taking off.
When the plane is set for take off it is not propelled backward by the treadmill, Because the wheels spinning freely simply match the speed of the conveyor, that is the only effect that the conveyor has on the airplane {if the wheels are turning}. The conveyor makes the wheels turn period. the wheels free spinning cancels out any and all forces from the treadmill. Then, because the plane is propelled by the prop, when the take off power is set, the take off roll begins as it would on a fixed runway. The plane does not care if the wheels are spinning already when the take off power is set. The wheels simply turn faster and the plane takes off.
The free spinning wheels do not have the ability to stop or limit the forward thrust from the prop no matter how fast they go or how you test it.
Does that help anyone who is still on the other side of this?