For example, a cart at windspeed is not the same as one held in place by static force to the air (thrust) as the belt moves beneath it.
The prop does provide static thrust, so the air may as well be equated to the wall, and the belt to the table, where the motor does work on the belt, but not the cart. When pulling the table cloth, you do work on the dinner ware ( not just the friction), but when pulling the table, you do work only on the table and friction to the table, but none on the dinnerware.
The TM is a way of dealing with the forces, so it stays in place.