I'm not good at dead languages, but I've heard complaints about cross-language mixing often enough that I suspect that there's a special term for people who like pointing that out.
Or perhaps, depending on irony levels, three terms. One each in Greek and Latin which they use to describe themselves, and one in Greek and Latin others use to describe them.
When I, too, learned this wasn't about cats I scrolled down to see what the proper term was. Thanks!