As I understand it the NATD took the technical elements of Henry's original book and published it as the revised technique.
Even back in 1940 Henry made reference to differences in his book and "the present orthodox technique".
Seven of the 570 pages in the book are given to discussion of rise and fall as applied to the different dances. He includes graphs showing the rise and fall relative to step timing and distance traveled. The graphs show a straight line for waltz and a curve for foxtrot. Regarding the feather step he says,
"The rise is gradual and commences at the end of the first step. Maximum height is reached at the end of the second step in actual practice, and not at the end of the third step. As the third step is taken, the height is very slightly lowered in preparation for the lowering of the right heel at the end of the step".
Before anyone jumps on his use of the word gradual, he does not use it in the same context as we do currently for the waltz, but to indicate that there is no instant rise at the end of step one. He later refers to the waltz rise as "a straight line graph, not curved as in foxtrot" and also as "different" and "delayed".
He also gives detailed descriptions of rise and fall when moving backwards, much of which became redundant when the term No Foot Rise was introduced in later years.
Moving onto the ladies footwork for the CoD. Bear in mind that because of the unusual turn the lady is not drawing her foot back, but to the side or even forward, so she uses the toe instead of the heel.