How did I know you were going to say that jasp?
Nonetheless, many (most? all?) of us have enevitably experienced the most common "flaws" that our students have; rotary push off, wedge entry's, late hits, tail pushing, excessive twisting, etc...
The point being here is that IF someone already possesses these habits OR they are new to the sport, it seems best, IMHO, to "first" teach them a good solid turn to include release/engagement, so that they can consistently produce a nice C shaped turn. As the student prgresses in a satisfactory manner, and as their confidence increases, so to will the variances in dirt (to INCLUDE) eventually, the pedal hop, retraction/anticipation pivots, etc.
In summation, a c shaped turn is, once again, the foundation from which we build....exceptions ABOUND in the skiing world that show variances based on this very foundation as you have just said yourself ;-)