rhetorolect
A type of discourse that has a characteristic configuration of topics, themes, and arguments.
If the elaborations "catch on" in some way, and themselves become developed, it is likely that we are looking at the creation of a "rhetorolect," a configuration of topoi and their argumentation that "is generated through a process whereby widely recognized topoi are recontextualized and reconfigured to create conventions that support reasoning in new contexts."
Where it comes from
From Latin rhētorica from Ancient Greek ῥήτωρ (rhḗtōr, “public speaker”) + from Latin lectus, form of Latin legō (“to read”).
Adapted from the Wiktionary entry rhetorolect (CC BY-SA 4.0).