"Anonymous. Alex Moore.Distribution of weight in the Walk. When comencing a Walk from a closed position, the weight must always be brought forward over the balls of the feet before a foot is moved."
Yes, body first. Increased movement todays makes this even more important than it was when Moore was writing.
"In the actuall walk the weight is first on the stationary foot. At the full extent of the stride it is divided for a moment between the heel of the front foot and the ball of the rear foot."
I dispute that in actual dancing, but it's not really the point of interest.
"Remember the speed of the foot is always greater than the speed of the body."
Not really, in that there's a substantial fraction of each step when neither foot is moving. But the bigger mistake is to forget that the foot has a long way to catch up with the body - even if it's moving faster than the body. If you start with your feet together, your free foot won't begin to move at all until the body is out ahead of it, because the legs never move themselves - they only move in response to being carried by the advancing body (then overshoot slightly).
Note that the "body halfway between the feet" fallacy is not contained in any reputable textbook.
"Is this where this body flight thing comes from."
No, body flight does not figure in the description of a single step because a single step cannot have body flight by definition - body flight is something carried between steps. It comes from the previous step. A step starting from a stationary position cannot have body flight - though it can initiate movement which will be body flight for the following step.
"Read again. Always FEEL that the body commences to move slightly before the feet.To have a feeling is the key word."
It's more than a feeling, it's a necessary reality.
"I've looked at the Feather Step video clip and have not seen anything that contradicts all of the above."
Look at how the thight swings forward much faster than the body, running into the partner's body. This is a very very common mistake, but a severe one. If you follow the common (mistaken) instructions, this is what you achieve. Only if you commit to sending your body ahead of your foot, with your foot overtaking it but slightly near the extreme of the stride can you avoid this kind of uncomfortable situation.
"Now how about the Backward Step, where the step is way out behind, with the weight over the supporting foot which is bent to the front and has not yet moved. "
The supporting foot has not moved, but the body weight should have already departed it via a timely heel push/toe release. Remember that the toe release starts as soon as the moving foot passes the standing one.
"Anybody who met Alex Moore will tell you he was very precise with what he said and the words he would use."
Then I expect you will stop imaginging things in the book that simply aren't there, such as the body equally between the feet nonsense.