"Anonymous. First. I can stand balanced on one foot as long as you like."
What of it? That has little to do with moving dances.
"When I am moving my foot is not supposed to leave the floor. It is the ball of the foot touching the floor which then becomes a heel skimming the floor with the toe slightly raised. That is not standing on one leg."
If you aren't standing on it, it can't support your balance.
Thus if your center of mass is not over the foot you ARE standing on, you are OFF BALANCE. Regardless of the position of your moving leg.
However, if you moving leg is not yet ahead of you, it may help keep your center of mass balanced over the standing foot longer, even as your body center moves forward. Whears if you swing your moving leg out in front of you, it's weight (and inertia too) will pull you off balance even earlier.
"Lower your heels and now where is your weight. Its over your heels is it not it. We are is still talking Waltz here... How can you say the body gets ahead of the feet. The knees are ahead of the feet."
As soon as the knees are ahead of the feet, the body should be as well. That is the key element shown in picture two, which you still insist on ignoring. Are you blind?
"I cannot get my body ahead of my feet unless I straighten the knees."
Sure you can - see picture two, only don't move the free foot yet.