Reading this link, I'm wondering if my initial formulation wasn't correct after all? It depends on how you categorize "vegan" but in the link they state that "m

Reading this link, I'm wondering if my initial formulation wasn't correct after all? It depends on how you categorize "vegan" but in the link they state that "material" is the only group of adjectives that comes after "nationality", and of the categories listed, I'd say vegan fits the "material" category best? Or am I misinterpreting something? English is my second language, but I do want to speak it as well as possible, hence my efforts to understand this topic. I do apologise for pestering you all with these questions tho.