The point that people are failing clearly to state (and I have had a little look on the link provided) is that the plane actually does move.

The conveyor belt will have little effect on the air above it.

The propellor of the aeroplane (both correct UK spellings) pulls the aeroplane forwards, regardless of the conveyor. The wheels go round like buggery, but the friction is insignificant.

So the 'plane moves forwards in the air. This is stated in the first post on the thread linked to. Air moves over the wings. The Bernoulli effect creates lift. The 'plane takes off.