If you want to look at health outcomes, the average diet of the nutritionally ignorant is almost always going to be worse than a vegan diet, ignorantly planned or not. The majority of the US populace (mostly meat eating) is very unhealthy and sick due to nutritional ignorance, so this is a very weak argument. Furthermore, meat is a known carcinogen and inflammatory. Its absurd to me that health reasons are attempted to be used as an argument against plant based diets.
To be frank, using the argument that plant based diets are "privileged" is cynical and disingenuous.