Eh, they don’t get to win. I care what it’s called because that’s the word for it in English. Letting them win means that they’ll just advance to saying that the government shouldn’t be encouraging what they disagree with.
When people proposed “civil unions” as the alternative to gay marriage it shut up exactly zero of the nut jobs. When gay marriage was legalized they started arguing about how you can’t force them to make cakes.

Appeasement doesn’t work. Get petty and make the nutters defend everything they’ve got twisted around in their heads. Care about the word if for no other reason than it makes them pissy.