They must be aware that will run into geographical indication protection. Similarly to Italians making cheese all over Europe, but being unable to call it Parmesan.
So in the end, they can have a product that will taste very similarly, but they will have to sell them under different name.
The US isn't as strict as Europe when it comes to enforcing those sorts of rules. For example you can buy bottles of US made sparkling wine labeled "California Champagne" and various cheese like products labeled "Parmensan" that have never been anywhere near Italy.
So in the end, they can have a product that will taste very similarly, but they will have to sell them under different name.