As you're well aware, left vs. right comes from the physical locations of representatives in the parliament of Revolutionary France.
In Revolutionary France, obviously both are going to be batshit fanatic leftists, but one will be less-left.
Result: culturally, everyone who wants to use left vs. right looks up to Revolutionary parliamentarians, and are at best going to be raving lunatic leftists. Put another way, everyone who can use the term without coming across as LARPing, or being a poseur, is a far-far extremist radical.
I have been using it as a sort of diplomatic concession. I reinvent or appropriate plenty of terms as it is; there's no need for me to reinvent literally every term of art. Diplomats in foreign embassies are best served by using the foreign terms rather than insisting the locals use their native language.
Or maybe there is such a need.
To call a spade a spade, one must speak of honour and responsibility. Contracts and paying for your own stuff with your own wealth. Property vs. trespass. Weirdo sinister terms can get fucked.