Hi, I believe (IMHO) that it does not make much sense to separately name the Org Mode syntax (as a markup language). That would only generate confusion among users. Furthermore, 'Org Mode', as a whole, is already a sufficiently recognized and popular name, even outside the GNU Emacs community. A single name is best remembered. More than one name means atomization. For example: there is TeX (the typographic engine) and TeX (the programming language for that engine). And there has never been any conflict.
On the other hand, drawing a dividing line between Org (a lightweight markup language) and Org (a GNU Emacs major mode) as if both things could exist separately is an illusory exercise. I mean, that the Org's global experience is the fusion of both things. I migrated from Markdown to Org Mode a long time ago not because I was looking for a new and best lightweight markup language but because Org provides me with a complete and quite sophisticated and productive work environment. An environment that includes, yes, its own syntax, but all within Emacs, which is where makes sense. I do not know if it is an emergent quality, but I see Org, in many ways (and with all its synapses) as an interface for Emacs. Best regards, Juan Manuel