Lmao it's a made-up treadmill! In my world treadmills are powered by an electronic motor. It runs at a certain speed in the opposite direction than the one im facing, for me to stay on the treadmill i need to match that speed going forward. If the plane matches the speed it will stay on the treadmill just like me, if it exceeds the speed it will roll off it to the front, if it moves slower it will roll of to the rear. Just like me.
Now for the plane to fly it needs to leave the treadmill, so why introduce it to the scenario? Unless your imaginary treadmill works differently, if it's the same as mine the result will be the same.
Now i don't know hoe your imaginary one works you see...