Earlier quoted context omitted.
Why does origin naming only apply to "fancy" products from France and Italy - cheddar originates in England, but no one claims that cheese made exactly the same way elsewhere isn't cheddar.
Origin naming protections are all over the place. In fact “ West Country Farmhouse Cheddar” is a protected name. Another example is bourbon whiskey, it must be produced in the US out of 51% corn in a certain kind of barrel in order to carry the name.
By the logic that leads to WCFC, Grana Padano shouldn't be protected. Only "Piacenza Grana Padano" should be.
It is an identical situation: a method of making cheese, with an origin in a specific area. I can make cheese the same way, using the same ingredients for both cheeses, but one I can call cheddar, and the other I have to call "Not Grana Padano".