Here is an alternate way of looking at this. An immigrant from Kenya comes to US with nothing and little to no support system and succeeds despite things stacked against him. A local black person that should have turf advantage can't compete with an immigrant, who is actually hungry to get ahead.
What do you want me to do? Cripple the immigrant so that the local black person can have a leg up?
Are you sure is about white privilege? Are you sure it is not about something more systemic?
We can pretend. We can even have a real conversation.
But white privilege is an actual social construct ( ie. made up bs ).