I'm not sure what you're getting at: That all seems to be consistent with the parent comment's point. No doubt it is indeed made and eaten in Greece, but so are other types of yogurt, so "Greek yogurt" is an overly broad name for that type of product. Just as Emmental is indeed made and eaten in Switzerland, but so are other types of cheese, so "Swiss cheese" is an overly broad name for that type of product.