I was disappointed. I always thought the myth involced the treadmill's and the airplane's wheelspeed being identical.
It is...or at least should be.
When you run on a treadmill, you stay in the same place. Your legs and the treadmill go the same speed (roughly...it isn't exact obviously). You certainly don't go running into the bar or the control panel.
I didn't see it but it sounds like they let the airplane have forward motion relative to fixed objects on the ground. Obviously the airplane will takeoff if it's capable of moving forward relative to the fixed objects on the ground. I don't see how this is disputable.

-mini