As I understand it, you think the situations aren't the same because the earth is large compared to the treadmill. In that case, all you need is a bigger treadmill.
Imagine that you are in a car driving down a road. You can feel the wind blowing in the window and you can see the road below you.
Now, all of a sudden, the car is magically transported into a building and placed on a treadmill. The treadmill looks like the road and is moving at the right speed that it looks just like the road did to you before. In front of the car is a fan that's blowing air at you at just the right speed that the air blowing in the window feels the same as when you were outside. All around you is projected a moving image that looks just like what you saw outside. Would you be able to tell that the magical journey had taken place?
You might argue that you won't be able to feel movement in the car when it is on the treadmill. Well, the truth is that you can't feel movement when you are in the car on the road either. As long as the car is not turning or changing speed, you won't feel the movement of the car.
So, you won't be able to tell the difference because sitting still on a treadmill is equivalent to moving along the road.
-- Roger