I disagree... a treadmill and model airplane will prove the concept. As long as the take off speed of the plane is less than the belt speed of the Treadmill, then the treadmill has the advantage since it can over compensate.
It's basically a Cause and effect thing...
The airplane starts to move forward, causing the belt to rotate equally in the opposite direction, but the belt can ONLY effect the tires that contact it. Since the tires have NO control over the speed of the plane, other than to lessen rolling friction, the plane will take off as it would any other day.
Simply because the belt only touches the tires, and the tires only spin... nothing else.
The only purpose of the "speed matching" part of the question, it to trick people into thinking it has importance. When it is not important, that belt could be rotating 1000mph in reverse, and the only thing that will be effected is the rotation of the tires. Which can't keep the plane still.
If TU24 doesn't kill us all on the 29th, Mythbusters will put this to bed on the 30th.
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