Thank you Jean-Michel for the wide ranging discussion. The critical point, I think, is that Moodle HQ is clueless (a point upon which we had some disagreement not so many months ago, lol 
I suppose one would have to ask "Jason & Damyon @ Moodle HQ" about the doc as they are solely responsible for it - I surpmise that they checked out bits and pieces of forum postings (at one time, as you know, DragMath was coupled to the TeX filter, though instructions on how to "fix" that "feature" were posted pretty quickly.) Moodle usage of DragMath has been a long road since John began supporting the applet years ago. I tried to maintain history but gave up when Moodle started rolling out new docs for every minor version.
Perhaps more importantly, the vision of the community building the documents has not had many takers. I am sorry if I haven't seen others contributions, but I think it has been largely only CVolin working on the docs since I threw up my hands. My suggestion for a search utility that would suggest answers to common questions before forum posts were allowed has languished for years and will never see the light, so we largely have docs that are not always updated to reflect forum discussion.
Nevertheless, I would have assumed that HQ would have consulted the moderator of the Math forum (who just happens to be someone who has done quite a bit of work on editors, lol), past Moodle DragMath devs, or even posted in the forum soliciting involvement in the development of the subject page. I guess I missed all that.
I had tried to provide documentation explaining the differences between what I called constructors (like DragMath) and display tools (such as a TeX plugin) -- both inside and outside the editor -- as that confusion has arguably been responsible for fully a third of the posts in the Math forum. As I noted above, I don't even know whether those docs can even be found anymore, lol.
But the hallmark of the discussion among those working on math tool development at one time was making math universal and transparent. One of the reasons DragMath is so wonderful is that it will create a tokenized string for multiple syntax, and this enjoys a happy marriage with MathJax, as mathjax can likewise parse multiple syntax. As a result, no matter what you write Math in, the reader can read it, at least within the limits of these products.
SEE - as presented in Mauno's TinyMath editor, was a further step in this direction. It was hoped that eventually the various benefits of inyMath would become easily installed add-ons for the editor, so for example, a teacher could provide a binary construction file and have a student tweak that to some end and submit it - all of which was demonstrable two years ago.
I think one of the things that was of concern back then was the increasing complexity of the javascript that was being processed, the possibility of the use of a preprocessor to streamline things and conflicts. My impression was that Moodle HQ had a hearing problem. Of course Mauno, always the positive one, might suggest I was being a Cynic, and he was of course correct - but Cynics have been known to be right (though I am not arguing that here.) Indeed, there was just a recent bit of flapping a month or so ago when Derek had something to say along these lines.....
The issues have not changed much in a decade.... Math in Moodle needs to be transparent and universal for teacher and student
I saw the recent HangOut Peter K for MathJax participated in as a great move to broader sharing of Math tools and at one time Jonathan, David and others were perhaps more active here [we of course see Chris because of DragMath and STACK ]. Was that because they were dragged in kicking and screaming, lol. I don't think so, but that is a question. Moodle should be an ideal target for math tools, which means people should be developing math tools with Moodle in mind....
A wonderful Christmas to all.
