Those are both awful arguments. One is plain wrong. The other is a strawman.

Canines don’t make you a carnivore. Tons of herbivores have canines. Example: hippos, camels, and gorillas. Plus, our canines are barely there at all.

The argument about being a carnivore/omnivore is about nutritional needs. Cooking your meat doesn’t change its nutritional content (though it does make some nutrients more accessible to your digestive system), nor does eating with a fork and knife versus any other tools or no tools.