Lower body on downstroke

[Trig]

I've heard some say that the lower body has to move laterally towards the target during the down stroke. I've also heard this is wrong and that the lower body rotates so that your belt buckle is looking at the target. The latter representing a "firm left side". I've also seen a drill where a shaft is placed into the ground outside of your left leg. The idea being you should not be bumping into it during the down stroke.

Thoughts?