> I think it’s better to at least try to make a name that transmits partial meaning or a general gist of the idea.

If we didn’t use formal terms for math concepts, mathematicians would waste all their time arguing about the colloquial definitions of the colloquial words they tried to map onto abstract concepts. It’s better to have a clean break and force people to learn the specific formal meaning rather than try to limp along on a busted half-intuition.