It's like this in the EU. You cannot sell 'soya milk'.
Source (PDF): https://curia.europa.eu/jcms/jcms/p1_370368/fr/
Source (PDF): https://curia.europa.eu/jcms/jcms/p1_370368/fr/
Compare that to where I live in the Bay area and it seems to me that vegan products are actually crowding out other products in supermarkets. Esp when it comes to cookies/baked goods.