> The federal legislature cannot amend the Constitution by itself, as it requires a 2/3 supermajority of the House and Senate, 3/4 supermajority by the states, which are not what one would traditionally refer to as ‘lawmakers’ but I guess could colloquially be sort of.
No, state legislators (and it is 3/4 of state legislatures that need to ratify) are absolutely, 100%, lawmakers. If one wants to differentiate federal from state lawmakers to refer specifically to either one, the appropriate adjective is used along with "lawmakers", but "lawmkers", without qualification, definitely encompasses both.
> there’s of course the constitutional convention path, but that’s even less kind-of-sort-of fitting any normal definition of “lawmaker.”
No, again, the convention is an alternative to Congress for proposing amendments, but they are still ratified by state legislatures, comprised of state legislators, who are exactly within the usual definition of “lawmkers” without further qualification. (And do so exactly as much as when the exact same group ratifies amendments proposed by the other mechanism, not “even less kind-of-sort-of”.)