The ad copy can say a lot of things, which are unenforced, but the ultimate proof is in the product.
Sort of like how Wagyu beef used to mean a very specific breed of cattle, raised in a specific part of Japan, but has been perverted and applied to a lot of other things now. Parmigiano Reggiano cheese is another example. Not the stuff Kraft peddles. Or Champagne, from that specific region of France, not sparking wine.
A protector may be made of glass from Asahi Glass, or Corning Glass, both companies that are over a century old, but that just refers to the raw material. The hardness rating is just that, and applies to glass from any origin.
That material may have better properties, but there is more that goes into making a protector, like the cut, the uniformity, the adhesive layers, and the coatings, which don't originate from those companies, but suppliers from inside China where they are made.
In short, even if it is authentic glass from those reputable companies, there are still no assurances aside from the raw material that was used.