I don't really agree with the premise here.
By its nature, pointing out privilege is as a caveat. It takes place in the context of acknowledging someone's success.
Also, I think it's a very small minority who discredit people's successes based on racial privilege. Wealth privilege is a different story, but that's an enormous privilege. White privilege is more just about not recognizing how other people have to interact with a society that is not necessarily as friendly towards them.
Either way though, this was just privilege discussed in terms of the internal process, via the feedback loop that helps us learn about the world through trial and error.