S4P: in another view of the pivot, there are two centers: one is the back of the base of the neck which remains in one place: the hips go sideways and swivel around that fixed point. The base of the spine moves in the backswing onto the right femur: AND THEN THE HIPS ROTATE AROUND THAT POINT. So the pivot at that point TURNS THE BODY in addition to swinging pendulum-like under the neck. And in the forward swing, the same thing occurs on the other hip: once the pendulum has swing the base of the spine to the left, the hips rotate around THAT femur.
For that reason its proponents call it the COMPOUND pivot.
Picture a capital A where the apex is fixed, and when its bottom swings sideways in one direction, it also TURNS on the bottom of the leg that led.