Are any of you really so ignorant (or stupid) of the reasons aircraft fly as to think that really, a treadmill would have any effect on a plane taking off? Wheel speed is totally irrelevant. I honestly hope this consideration/argument is all tongue-in-cheek.
The jet engine, or in the case of a propeller driven aircraft, the prop, move the aircraft forward in relation to the air, and when the aircraft moves forward against the wind, the wings create lift, and with enough wind created will generate enough lift to overcome the weight of the aircraft. Wheel speed in irrelevant, with skis and floats doesn't matter.
Ever see a good STOL aircraft takeoff? With sufficient wind down the runway, and correct flap down settings, a STOL plane can takeoff with virtually no forward speed, it's all about wind over the wings.