No, Ari, it isn't, and no, it doesn't. The model number is arbitrary and the standard magazine contains 15 cartridges, not bullets. It's numbered differently because it's a .40 S&W, not a 9mm like the model 19.
You'd figure a fellow who likes to flash logic terms around so much (improperly, as well) might have a bit more care with his premises.
While what you say is true of most Glock models, including the one used by Cho, I have read that the first Glock model, the G17, was named after the magazine capacity.