No, I never said that at all. I talked about rotational inertia.
I said that in any "real-world" scenario, and as the problem is initially stated, the plane takes off. However, there is a method for you to prevent an airplane from taking off, given full control of a superpowered treadmill (and indestructible landing gear).
To help you understand, consider an airplane that is landing. The wheels are down, but they are NOT spinning. A heartbeat after the plane touches down, but BEFORE the brakes are applied, the wheels are spinning. Because the wheels have mass, this means that the spinning wheels now have angular momentum. Energy cannot be created or destroyed, so where did this energy come from? Why, it came from the linear momentum of the plane, meaning that the plane is now traveling just a little bit slower. Of course, now that the wheels are up to speed, they are no longer slowing the plane, and so you must apply the brakes to remove the excess linear momentum of the plane AND the angular momentum of the wheels.
But what if you are landing on this magical treadmill? Well, you could continously accelerate it backwards right after touchdown, increasing the angular momentum of the wheels and decreasing the linear momentum of the plane. Eventually this would be sufficient to stop the plane's forward movement. Of course, at that point the treadmill would be moving backwards significantly FASTER than the plane's original landing speed (because the linear momentum of the plane was its entire mass*speed, whereas the angular momentum of the wheels is their moment of inertia*angular speed. The wheels weigh much less than the plane).
I can draw a diagram or run the numbers if you like.