if everything was mathematically scaled down correctly - YES - the theory could be proven or dis-proven by use of RC aircraft.
Ask yourself this
if the conveyor belt was turning at 1 knot could the airplane takeoff ?
Yes IAS would still have to be around 150kts while WHEEL SPEED would be around 151kts
if the conveyor belt was turning at 10 knots could the airplane takeoff?
yes IAS would still have to be around 150 knots while WHEEL speed would be around 160 knots
if the conveyor beld was turning at 100 knots could the airplane takeoff?
Yes IAS would still have to be around 150 knots while WHEEL speed would have to be around 250 knots
see the pattern here.
I can lift off an aircraft with ZERO WHEEL SPEED assuming the wind is strong enough so WHEEL SPEED is completely irrelevant to the discussion... in real life wheel speed would only be an issue when it comes to required length of the treadmill and wheel speed limitations... i dont care if the treadmill is going 1,000 knots... assuming that wheel endurance was not an issue the airplane would eventually lift off and when it did lift off it would only be going around 150 knots through the air - given the tread mill would have to be many many miles long!
taking off on a treadmill would have about the same takeoff performance effect on an aircraft taking off in a strong tailwind - it would still achieve lift and fly off but the distance required will be greater.
http://www.straightdope.com/columns/060203.html