It does for one pair of our great nieces, who claim to be Hispanic, "Mexican" even. Their paternal grandparents were both born in Texas, don't know how much farther back that Texas thang goes for them. I have one friend for whom it goes back to the 1600s. Only it was part of New Spain in those days. The great nieces' grandmother sounds just like the wife of that friend of mine. Looks a little similar too, but her father immigrated, legally, during WWII. (He was a barber on a Naval Air Station from then until he retired)
I also have a niece and nephew who have one black, with a touch of American Indian, parent, and one white parent. I think she thinks of herself as Black, but acknowledges that she's "yellow". I don't think her brother thinks of himself as anything but himself. His girlfriend is blond, but she too has a touch American Indian, in common with many an Oklahoman.