On second view of the video, yes there is more inclination on the toeside. Not much on the heel side, instead a lot of bending at the waist. The more advanced version of sponsor turns is to show up hill, not the initial one. Not everyone can initiate their carve early enough in the turn to show up hill. As snowolf often points out, you need to complete the turn, and come up hill slightly to do this.
As for hockey stops, I just find it is a good way for people to learn to get on edge, and develop some balance while on edge. It is sometimes difficult for people to realize the mechanics of flexing the ankles and knees properly for angulation.
Granted I am only a level 1 casi instructor, so I have a lot to learn about teaching others.