Positioning high on the head is a big part of "the trick". I would not have though to put the loop in front of one ear (as necessary depending on which way the dog is pulling/resisting). The stiffness seems to be a reinforcer that it is there and the dog can avoid the correction by keeping the loop straight up and high on the head.
Sometimes the really good ideas do look either dumb or unexplainable. But they work.
Be sure to tell Maddie she done good.
stay safe.