But in this thought experiment if the treadmills were not the little ones you are imagining but very big ones, AND, if their only purpose was to negate the forward motion of the plane caused by the plane being pushed along the ground by it's engines then plane never would move, never would travel off the end of the treadmill an never would happily charge down the runway and soar into the air.
What do you mean by "negate the forward motion"?
If your going to strap it down, then it won't go anywhere.