No analogy is perfect. In this case, there are questions that legitimately have no definitive answer (like what is "large scale"), so it is more like the cheese maker genuinely doesn't know whether their milk would be audited as raw-milk or not, and even if they consult with a lawyer they still don't have confidence that they would know.
It bans "raw-milk cheese", which is a distinct kind of product, not one way of many to make a particular product ("cheese"). If you ban raw milk, you ban certain types of product entirely, and there is no workaround.
It would be like saying a prohibition on planes does not ban automobiles, and after all, both are a kind of vehicle. True, but not really relevant.
Back to the GDPR case, it's closer to a producer of pasteurized-milk-cheese saying they are going to get out of the cheese business altogether because of the ban on raw-milk-cheese, and labeling their cheese as such and documenting however briefly that the cheese is made out of pasteurized milk is just too much effort, and they are afraid of being sued by people claiming it is raw-milk-cheese.
Whatever.