Right, so I guess the video is evidence that the producers of Comté were trying to establish an identity for their product, separate from Gruyère, but consumers, as usual, used brand names as product category names.
That's very common. In Greece for instance there's a PDO cheese called "kasseri" but all of northern Greece calls all hard or yellow cheeses "kasseri". Conversely, they call all white cheeses "tyri" ("cheese"), which usually (but not always) means feta, which is in turn a PDO name for a specific kind of white cheese made in certain areas of Greece only.
I guess it's the same thing with French cheeses and Italian cheeses, and every other place's cheeses. Heh.