This thought has probably been brought up before, but I like to discuss this with people and hear their views, for me personally this seems to Aid in my learning process.
Here is a question that I've been pondering for a while. Oddly enough this has not been brought up in my circle. Why do kata’s turn to the left or right instead of just facing forward and turning your body to the left or right to demonstrate the angle in use? For example in Pinan Shodan, instead of turning and facing to the left to execute your first move, why not pull your right foot back and execute the posture to the front, then changing feet putting your left back and bringing your right foot forward to execute the right side and so on?
My thought is that the kata has no way of knowing how you're going to get into a left or right stance just that you should go to the left or right depending on how you have to execute the movement. The other thing I feel is important are the transitions between movements because some of those transitions show how to get around an opponent and possibly indicate throws trips and use of power etc.. At least this is what I have attained so far. The more I question, the more research I do, the more I seem to learn. Let me know how you think about it.