It’s also kind of irrelevant: what they’re called isn’t really the point.
Actually it is relevant, since math is syntax and semantics. If we get the semantics wrong it's gibberish.
What they are called might not be the point, but calling them prime in a context in which prime has a precise meaning while they are not can be confusing. Especially since the difference between prime and irreducible is subtle and it's the whole reason we have non unique factorization domains, which is the main topic of the article