"In the case of a Forward or Backward Walk, the time value of the step is nor completed untill the moving foot is drawn up to the foot supporting the weight."
Yes, for a WALK. But be careful, as you are about to make dreadful leap of flawed logic!
"When instructed to rise at the end of a step the dancer should not commence to rise untill the moving foot is passing the foot supporting the weight of the body."
Now we are talking about something entirely different. We are not longer talking about textbook walks (which by their formal definition have NO RISE OR FALL), instead we are talking about walk-derived dance actions, WITH RISE.
And also, we must be careful to draw a distinction between the formal RISING ACTION and the more general variety of sources of a GAIN IN BODY ALTITUDE.
The end result: if you work with top-notch teachers, you will learn that the body begins its upwards travel long before what would be the end of a corresponding textbook walk.
Further, you will be taught that the heel of the arriving foot must break the ground just before the moving foot passes it. This is because that action of the standing foot must ultimately be timed to support the body, and in today's dancing the body passes over and beyond the standing foot slightly BEFORE the moving foot passes the standing foot.
You can continue to blindly apply the trivia you memorized, or you can work with world-class teachers and learn to understand the actual rules and principles of technique - the rules which suggested the trivia that you memorized as being applicable to the situations where it was intended to be used, and which today suggest DIFFERENT details for the DIFFERENT CONTEXT of today's more dynmaic dancing.
Same rules, different setting => DIFFERENT DETAILS.