"A study of the CBMP definition written by Howard and Moore is not the same.
On careful reading you will see that they are both right regarding step 5, as gent, of the natural spin turn."
Applying Moore's definition of CBMP, "A term used when the body is not turned, but the leg placed across the front or back of the body, so giving an appearance of Contrary Body Movement" would be quite problematic.
Consider that if we allow our leg to exit CBMP at all during whatever degree of pivot we choose to dance, then the re-establishment of the alleged CBMP "across the body" would be the result of subsequent body rotation after the foot is placed. Many such as Geoffrey Hearn explain it this way, but doing so absolutely flies in the face of the "when the body is not turned" portion of Moore definition, since it is explicitly the turn of the body that causes a leg position that was not originally across the body to subsequently become so.
Or do you plan to overturn the body beyond facing LOD, so that it is actually a little towards DW, before you take the forwards drive of step 5, so that you can claim that the allegedly resulting CBMP is a result of the direction of the step being across the body alignment (consistent with the definition) and not of the body rotating across the direction of the step (inconsistent with the definition). That would escape inconsistency, but do you really want to dance in such a pinched fashion?
The rational reader quickly realizes that the occasionally found notation of CBMP on step 5 (in something derived from Moore's work) is simply in error, most likely confusion resulting from the "held in CBMP" of any degree of pivot employed in step 4.