"When we dance a heal pull with say the left foot "lady's feather" or " man's reverse wave" are we not pulling our weight from the left foot onto the right foot and if so then why can't we say we pull our weight foward over the front foot when moving forward ???"
The mixup of terminology here hints at the answer to your question.
A "heel pull" is an action closely related to the heel turn. It does not exist in the figures you mention, unless they are followed by a heel turn.
What you are thinking of is the toe release or "heel push" action.
And there's the answer to your question - you don't pull the heel in those steps, you push the body from the heel. When the free foot actually does swing closed, most of the distance is covered with the ball of foot (rather than the heel), again on the ground.
So, you push off the departing leg going backwards, and you push off the departing leg going forwards... in both cases, the arriving leg does not only does not accelerate your arrial, but actually acts to slightly delay it, by redirecting it upwards (either from downwards to level on step 3, or from level to upwards on step 1 - these are both 'upwards' redirections)