"As the moving foot of the person going backwards arrives under the body the heel of the suporting foot lowers to the floor. "
This is simply not the case for the Karen Hilton examples I examined, because her heel is on the floor while her feet are still apart. Yet you persist in ignoring this, even after asking me if her heel was on the floor and being told several times that it was.
It's also not the case for many others.
However, there are times when some leading dancers keep their heel up longer - Alessia for example, and you seem to have seen Lorraine doing it.
So clearly both are valid choices.
"This is exactly what the technique book say for any backward step."
It is what was written about a backwards step WITH NO RISE OR FALL. That is obviously not the situation in a feather step, where we have a backwards step incorporating substantial fall.
For many leading dancers, the addition of fall modifies the timing of the heel lowering, for others it apparently does not.
"Your failure to come up with any quote from any book."
The specific subject is not addressed by the book - something that I realize, but you keep ignoring.
You've found nothing in the technique book that literally addresses the lady's foot timing in a FEATHER STEP, only things that discuss the very different case WITHOUT RISE OR FALL.
Further, even if you had found something in the book, it would not necessarily be applicable to modern dancing. We've all seen how the men are lowering out their foot rise earlier than it says in the book, because they are going to be descending much deeper than contemplated in the book's era and need to get that foot flat on the floor before they start seriously bending their knee.