Rick, in CR the pelvis moves (twist/rotate) as a part of the lower body. In CA the hips/pelvis move as a part of the upper body- stride like. Do you not agree with this? If you do not agree, then I understand your viewpoint of CA and CR being the same movements. They are not, IMO. Also, I can envision your reluctance to torque neutral transition (TNT) in arc2arc, because CR sure wouldn't do much good in not pivoting the skis (while flat).
Does the pelvis always and completely move with the legs in CR, which means all the torque happens and is stored in the in the spine? Not sure I want to give a blanket yes to that. Does the pelvis move with the upper body completely in counter and stride mechanics? Is there no spine twisting too? Another level of separation. Not sure about that either.
truth is I manipulate these relationships everyday in my tai chi practice. Hip pelvic, and waist movement torque and control are a cornerstone of tai chi practice. They transfer easily and effectively to skiing. And I am not speaking of waiststeering, though that too is a good transfer. I'll leave you folks to hash it out.