If the head is over the "stance foot" (PMTS term) and weight balanced on down hill ski, there is no PUSH, just a release of edges simultaneously without holding the CoM back or trying to counter balance or contort. ..... In real skiing don't we want the CoM to move smoothly and uninterrupted through transition? ....
I understand one of the primary differences we see in this exercise is the emphasis placed on counter balancing vs. more inclination at edge change. ...
I want to own the whole spectrum not just the piece that somebody believes is "the way" to ski.
CUT / EDITED BY JSDOS for discussion...
I see what you mean. The intention or action of the belly button is not meant to create push. By which, I think you mean extra pressure on one or both skis to launch the COM down the hill, with a muscular move. I suppose there's some reactive tension that pushing the hips forward creates which moves down the legs and pressures the skis. And pushing the belly button towards the fall line needs some supportive pressure from the ground to happen. I'm not good enough with physics to detail it. Anyway, same happens with tipping / untipping. Although, I'd argue that it is easier to control or fine tune movements for the feet/ski unit with the feet than other parts of the body.
The hip, or belly button, move starts in the middle. The intent of the PTMS drill is to focus on feet first and go up the kinetic chain from there. Everything else that is noted or happened in the drill derives from foot movement - a specific foot movement. What is the intent of the drill? Of the instruction? So what should the feet do? That seems to me the essential difference in technique and organization of instruction.
A belly button, hip, extension move is a different skill, a different motion, and uses, as you point out, different drills. And of course we should consider the fact that Harb doesn't really like extension moves as a prime mover in general. So, he's not necessarily going to present it in his progression set.
Still, really like the spectrum concept. Just keep adding skills and tools and having fun playing with them.