The only way I can picture this is half-mooning in a horse stance, which depending on the horse stance your style has may be difficult. I think a video and/or picture would be necessary for this, to solve the confusion.If we use the same Kicho form set, think of Kicho Hyung Sam Bu. Three horse stance punches up and down the middle line. You progressively move forward through the form, from horse stance to horse stance.
I can visualize what they are thinking; that the chest is always the front. I feel this is incorrect. If I am in a horse stance the punching fist dictates where the front is as well as direction of travel.
I think part of it is simply training in different styles. Some styles may never practice walking through a horse stance so never learn that the body is turned into the direction of desired travel.