What Jim is saying is absolutely correct. Keep in mind that first you want to slide or ski the hip to the handle, "Power Triangle Position." Hips now pointed in the direction of travel. What is important is that the pull from the boat will be directed to this area and lock in the Center of Mass, ( COM).
From this position you can do what Jim describes and try to force the inside, lower hip, COM, to swing in the direction of travel. There is no need for excessive knee bend. Shorter people may, in oder to lower their center of gravity for more leverage.
The twisting force you exert will increase edge angle and engages the rocker. This also increases ski speed causing the ski to move ahead and under you, while you maintain your lean during the transition, " edge change."
As Jim mentions, it does follow more Snow Ski technique, since it relies on COM movement and DE-weighting the ski during the transition.
Hope this helps, ED