"I have a picture of Peter Eggleton taken years ago in a technique book. In it he is at full stretch front toe off the floor. Back heel off the floor. His weight is right in the middle of the two feet. A question was asked . Is he going forward, or is he going backward. It is impossible to say. Now go to the learning centre here. Find the forward and the backward walks. You will find there is one shot in the forward walk. And there is one shot in the backward walk where the weight is smack in the middle.. Place them on each other and tell me if there is any difference. The problem with most seems to be the flight of the body which must pass the split weight position.The flight of the body must be coming from the push, whether it be back or forward."
You would think that at that instant the weight is shared between the feet, but in fact it should not be. The pressure is entirely in the departing foot, and is a combination of support against gravity and push to move across the floor. The body is not in a position of static balance at the time when you switch feet - you are not fully supported. To stop there you would have to have weight in both feet, but we do not stop there, we go from supported on one foot, to unsupported, to supported on the other.