"I'm with Anon 3 and also Quickstep (who brought this up many times before I think) on this one, that there's no 'twisting' of the spine in the CBM action.
The blocks of weight from hips to shoulders operating as one during the CBM action."
" The feet and head are another matter during this action and they do differ in their amount of rotation relative to the hips/ shoulder block."
They do indeed, but they are not the only place differences occur.
The hips and shoulder do not move in unison either.
"It's easy to think that ones twisting the shoulders ahead of the hips but the CBM rotation is really taking place entirely in the ankle and hip joint."
In reverse turns for example, the CBM action will take place in the ankle and hip, yes - but the top needs to be isolated from this so that the rotation of the shoulders lags that of the hips. Otherwise the offset in the hold gets turned to the other side, twisting the partnership.
Twist your own body, NOT your relationship to your partner.
"There are actions where one does rotate the shoulder more/less than the hips. Like in the case of the throwaway picture line where the shoulder can rotate more than the hip to create an bigger outward expansion of the tops. On the other hand, the 1st step through, on the inside, of the promenade can be assisted with the hips turning more than the shoulders."
Yes, those are other examples. Note by the way that the hip rotation on the step through in promenade is inwards, NOT outwards. Many steps even call for CBM them, even for a partner who will not be turning.
"However for me, CBM does not involve 'twisting' (hips to shoulders)."
When you have a lesson with a coach who teaches this essential skill, it will start to make sense why it is necessary.