You’re attempting to redefine ‘pure’ veganism as consuming no animal nor animal-like products whatsoever. I can see where a word for that might exist, but what is commonly considered ‘vegan’ is not your definition.
If vegans can redefine "cheese" then why can't I redefine "vegan"? You're saying that only vegans can distort commonly used terms to promulgate their beliefs? They can sell "vegan" cheese as propaganda for their ideals but I can't just say, well then, you're not vegan because you're eating cheese?
Yes? This is what veganism is, is it not? Vegans don't eat animal products at all.