So do you teach the foot rotation prior, simultaneously, or after throwing the hip? I initiate the strike by getting my hips going, I checked the mirror and my rear foot does rotate (maybe 30 degrees) but the heel is firmly rooted.
Empty Hands, I don't practice AK, so I'm not up on that jargon. I'd argue that there is no sacrifice in power by leading the action with the hip, and that more power is generated by torquing your core. Can we agree that the act of punching requires a body rotation? Pushing off of the ground is a linear input to the hips, not rotational. I do concur that a firmly planted heel is an absolute necessity to buttress the strike (Newton was right). I've tried starting with my foot, I can't get it to flow (old dog, new trick syndrome). YMMV
The proper method is predicated upon the type of punch thrown, as well as the amount of body momentum utilized. However, all of the movements are part and parcel of the same anatomical action that employs both linear and circular movements.
Or as Mr. parker would say, "Where the linear ends, the circular begins, and where the circular ends, the linear begins."
If the rotation of the hips and shoulders were to be "extended," the punching arm would begin to circle, and the rotating foot would begin to "turn inward" on its axis as well.
The proper methodology utilizes an understanding of depth zones in dimensional stages of action, on an anatomical level. Therefore, in a primarily "torquing principle," as the punching action is initiated it will cause the rotation of the shoulder and hip to follow, culminating in the rotation of the foot in the torquing scenario. This would be anatomically proper.
In a scenario that utilizes body momentum and inertial impact as primary principles, the actions reverse themselves. This time beginning with the rotation of the foot, which will drive the hips, followed by the shoulder, which drives the arm forward. This too, would be proper.
One exerts a pulling action anatomically, the other a pushing anatomical action. Keep in mind it is possible to utilize a combination of the two principles predicated on the intent inherent in the various dimensional stages of movement of the chosen action.
Further, neither of these scenarios takes into consideration inherent strategy in initiating a potentially successful strike on an aware opponent. Also consider, deceptive body movements such as feints of various body parts, as well as deceptive footwork all become factors with various levels of anatomical efficient tradeoffs, versus successful applications.