I emphatically am not saying what your first sentence suggests.  My point is that whatever "privilege" so-called whites may have enjoyed arose from the advancements made in certain cultures (that happened to be made up of predominantly white skinned people), not because of the skin colour of the people in those cultures.  Accomplishment, not race or skin colour.

In fact, it could be argued plausibly that the last factor I listed, the technological revolution, is so ubiquitous that it has eradicated whatever "white privilege" is alleged to have existed previously.