It probably works for you because the triangle is legit and used heavily in soil science.
Stuff closer to a corner is more closely related to the main particle size (sand, silt or clay). What I don't like about this meme though is that things like 'grated parmesan' should be right next the Parmesan-blahblah-im-too-lazy-to-spell-it
Clay is read horizontally left to right, sand is read diagonally bottom right to top left, and silt is read diagonally top right to bottom left. So, the center of the mozzarella zone would be about 20% clay, 40% sand, and 40% silt.
Mozzarella/loam is ~20-50 sand, ~30-50 silt and ~10-30 clay - pay attention to the angle of the numbers and follow the diagonal lines. The center of the triangle has to be 33/33/33
Parmigiano Reggiano and Brie are pretty legit I would say.
I hate the term "Swiss Cheese" though. There are loads of sorts of cheese here in Switzerland. None are called just "Swiss Cheese". If they mean Emmentaler they should just say so.
I am totally missing things like Appenzeller, Grujere or as you said Emmentaler. There is a giant category of cheese and nobody would ever call that Swiss.
But also camembert is missing. Yes brie is legit but is by far not as good and important as a camembert made of unpasteurized milk.