Here’s another way for wallace to look at it, just in case he’s not trolling.
The treadmill is stationary, the plane is stationary, the jets go on full thrust and it begins to accelerate. when it gets to 100mph, the treadmill suddenly switches on, instantaneously going at 100mph. what happens to the aircraft’s speed relative to the air around it and the non-treadmill ground? Does it carry on accelerating? Or suddenly stop or start to go backwards?
You can have the airstrip made up of a bunch of treadmills in a row, all going at different speeds forwards and backwards, the plane will accelerate over them. The tyres will be under a bit of strain, but the plane will still accelerate in relation to the air and the earth (not treadmill) until the airflow over the wings generates more lift than the weight of the plane.
Or:
Can a plan land on a treadmill? Or a conveyor belt?