But more importantly, the reason I maintain it's unecessary to bring this into the answer to a beginner question is that a beginner dancer does not need to know when to say a step can or cannot be considered to be be placed CBMP, they need to know what to do when an expert has written that it should be placed in CBMP.
There is a substantial difference between understanding an idea enough to apply it when instructed to (which is what we'd be aiming for with a beginner - when it says CBMP, place the moving leg across your body), vs. being able to figure out when in a sequence of movements such a technique should be used based on an in-depth understanding of its definition and the mechanics of the piece of dancing being attempted.
The concept of CBMP hardly qualifies as "in-depth" knowledge. It's impossible to teach the bronze Standard syllabus without it.
Any instructor who teaches CBMP without also explaining its purpose isn't much of an instructor.
Finally, you are incorrect to claim that CBM and CBMP have nothing in commmon except nomenclature.
The disagreement is specifically with this idea that you can only understand CBMP in relation to CBM.
It's false - they are seperate concepts and it's easier to learn what each really means on its own, than to worry about why some dance teachers once, perhaps unwisely, named one in allusion to the other.
Both the movement and the position (which is part of the movement) are taught for the same reason.
jj