"The whisk first appeared in the 4th edition and its description, together with a suggested follow of a chasse based on the quickstep chasse remained largely unchanged through to the 9th edition."
In which case the specifics of dancing the figure from a promenade beginning may not have been given much attention, since the progressive chasse in quickstep is not in promenade.
What is very interesting is that the present description of the chasse from promenade seems to be the only place where specific instruction on how to execute a promenade is given - everything else is descriptive, but this is really the only instruction provided.
It is also quite evident that "body" in the context of this note is not quite the same meaning as "body" in the context of the chart descriptions - in the note, it clearly refers to the upper body, and in the chart the orientation given is clearly that of the lower. The opposite assignments simply would not be physically possible within a closed hold.
Ultimately, I suspect that the non-instructive (and to many, serverly misleading) description of promenade to be found in glossaries is something inherited by the described technique rather than truly part of it - it predates the codification of the type of dancing described in the books, because it's obviously somethwat incosistent with actual closed hold execution. Further, it's quite obvious that if something is turned out this must be primarily the lower body, as again turning out the upper body is not possible while remaining in what was coming to be understood as closed hold.