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It is a unit. It's not a perfect unit. You seem to be implying that's a contradiction, but it's not. A sweater might not be a blue sweater, but it's still a sweater.

Okay, then why did you say "either it is a unit or it isn't"?

I can measure things in pesos and dollars. I do it all the time. I literally do it every day, so I'm not sure how you can tell me that I can't.

That's fine if you say it's not a standard, because a standard implies that it will be consistent over time. But it is a measurement.