I lived for many years in those two states.  Had a Mexican (he was a true "wet back") roommate, a Hispanic brother in law, worked with Chicano's, and Native Americans.  So I'm confused, is his statement wrong because he chose the wrong "label"?  Back when I lived there (I spent some time living in a neighborhood where there were Caesar Chavez posters), the "label" was kind of fluid, it depended on who you were talking to, and/or during what time period.