Most things rarely matter always. The purpose of words is generally to convey an idea to someone else. Humans are very effective at filling gaps or patching over mistakes in the communications they receive. There are certain key aspects that determine the meaning of a sentence, and one can get pretty far by getting those parts close enough. I would param that the distinction between "argument vs parameter" is hardly ever a key aspect in a specific communication. The terms you mentioned are more important, so I don't the analogy quite holds up.

If the speaker used argument or parameter incorrectly, the context would make the intention very clear. Most listeners would make the correct mental association without even thinking about it.