When the back foot hits the ground it gives you additional power for striking. If I where to hit the ground with the back foot and then allow it to move as in the Choi video I loose 2 things power and forward momentum and this is not Xingyi.
I didn't want to get too into it before you had a chance to respond.
However, what I was not saying is that the back foot turns after it hits the ground. What I mean is that the back foot turn is a kind of substitute for the Xing Yi step.
If I understand correctly, the back foot should hit the ground at the same time as the strike, right? Conversely, with LHBF's foot turning, the turning should stop right at the moment of the strike. Also, in Xing Yi, when the back foot hits the ground, the torso "falls" slightly, right? When you do the foot turning, it gives the same effect. No one would even suggest you would shift your feet after you do the back foot step. It's more of a substitute.
Basically, our foot turning is like a stationary and understated (a core LHBF philosophy, by the way) form of the Xing Yi step. I would say it's a generalised form of the Xing Yi step. The Xing Yi step basically moves forward. In LHBF, you can move forward and do the Xing Yi step, or you can stay still and do the Xing Yi step on a dime. The latter would be used for close quarters combat since I would think it would be quite difficult to use the advancing form of the Xing Yi step.
As to similarities to Xingyi stepping, I have to say I do not see it in Choi's form. I do see it in Helen Liang however.
So basically, you don't see it in Choi's form is because we do our version of the step inconspicuously.
The Xing Yi step provides great power. And we encourage its use. But the main focus of LHBF is to use the least amount of energy for the greatest amount of power and we acheive this through the flow of the applications. If we did a Xing Yi step right out of the book it breaks the flow.
From a scientific standpoint, kinetic friction is always smaller than static friction. It takes less energy to keep a thing moving than it is to have to start anew each time. So we try to keep our bodies (which, by LHBF definition must include the feet) moving (but rooted) until the end.
Don't get me started on the Helen Liang video.
Anyway, I created a computer generated version of one of the LHBF patterns in the video thread. It's very robotic, but you can just about see the principles I'm talking about before.