@LiquidFeet thanks for the input above but I am coming at this from another angle.
As Mike states (Beginning at 1:00 in) "TURN" (as related to body direction change) is an effect of what your pelvis and joints do. So, in the context of countering while carving, (assuming you believe in bottoms up skiing) if an instructor tells their student to turn their hips/pelvis (skeletal parts often improperly identified as the same thing), that isn't what you are trying to do according to Malaska. The countered position that we observe is the
result of a straight line force being applied to one of the hip joints.
Now, we can all put our arm out and lean against a wall but that action alone does not produce a countered pelvis. However, as your pelvis engages in the angulation process (moves toward the wall) and you begin to flex/raise your inside knee (with feet aligned in parallel) , the higher you raise it, the more your pelvis wants to rotate around the outside hip socket creating a countered condition.
So back to my question. What is source of the straight line force that causes the pelvis to rotate around the outside leg's hip joint creating the countered position? I don't think it is the push of centripetal force coming up from the ski but instead some combination of muscular actions used in the creation of angles enabled by the flexing of the inside leg. This makes sense as the extremes that Lorenz shows above requires high levels of strength and FLEXIBILITY.
And if this turns out to be true, then we can surmise how important a role the inside leg plays in the creation of the carving state. Not so much in a ski snow engagement role but in a edge building role.
This making any sense?