Entirely ignores? There actually are DEI type initiatives specifically designed to benefit Appalachians, such as https://www.arc.gov/grants-and-opportunities/ or more locally, https://www.ovrdc.org/the-appalachian-community-grant-progra.... Of course, Appalachia isn't just poor white people, there are historically black and native populations within its vast expanse.

Also, certainly someone can have principled opposition to DEI without being called a Nazi. But frankly, having a wife or kids "of color" doesn't necessarily prove anything one way or another. Lots of plantation owners in the 19th century also had biracial kids while somehow maintaining their raging bigotry. We humans are quite skilled at compartmentalizing.