TDK6,
I think you might want to review the definition of hip rotation, counter and angulation. You seem to be getting them all confused. It is also clear you do not understand Indpendent Leg Steering (ILS) vs. rotation, and how they contrast each other.
At no point in those vids do you show hip rotation as it is traditionally defined.....instead your video shows angulation with counter vs. some really contrived version, of well almost "reverse angulation", but still using ILS to intiate the turn.
This is obvious to any certified instructor. If you truly had hip roation, your outside ski tip would lead the turn, or at least lead the turn intiation....it doesnt. In all cases your inside tip leads, (which is good btw). This is becuase you are applying independent leg steering, (again a good thing), but then trying to add rotation over top of it....impossible. This is why independent leg steering is so powerful, and taught. If you wanted to demonstrate upper body or hip rotation you would use the hip or upper body to force the turn, and not execute any independent leg steering at all. Because you did execute ILS your attempts to show rotation or its negative effects of it were negated...instead your video only showed angulation vs. reverse angulation...and perhpas the positive and negative effects of that....but of course the image you presented was messy do to the rotation attempt.
Since ILS is a learned skill, it is often missing thus many low skill level skiers intiate with upper body rotation. I have never seen anyone that can perform ILS, then try to rotate over top for the purpose of turn intiation. I have seen it in situations where people are trying to restore rotational balance....like DH racers, or freeskiers ripping big lines in the pow at high speed...but that is a good thing, and of course they dont do it with that "reverse angulation" thing you did. But of course I understand that was not the intent of your demo.
I know this board has had the terminology debate a million times, but in a setting like this where the majority of communication is in the written form, it is very important the terminology is used in the proper and common meaning. Going about and creating your own definitions of everything, or redefining terms to suit your argument is of limited value to the readership. It creates confusion when people see terms used in a miriad of ways....without question you are the worst offender in this regard.
Oh but having said that....good video editing skills. The comments, if correct, would have added a lot of value. Also the camera work is well done, clear, with no shakes.