Yes, I realize that no one would accept the new terminology (and would argue, laughably, that my terms are barbaric-sounding, as though "poetry," "poet" and "poem" (though their o's make them slightly more euphonious than my terms), so I'm not all that serious. Still . . .

Actually, I'm serious about "evokatry" (which is even euphonious). I'd use it to cover poetry and prosetry. Poetry would be metery by whatever name and lineatry by whatever name, prosetry prose poetry. I'd keep "prosetry," too.