The message focus and the message it sends to people is wrong. The signal is that there are systemic problems that can't be changed because people in power are guilty of having power. "White privilege" falls into a mentality that I call victimization, where instead of people looking at things through the lens of "how can I change myself and be better", they look at it through the lens of "how can others change themselves to help me be better". This is a hopeless signal that doesn't help anyone.
What we should be saying to people is that they should strive to be better because that's the only sure way they can hope to improve their situations. Waiting for other people to help you isn't going to do anything. The only thing you have control over is your own life. If the public discourse around these issues focuses solely on how other people have control and how you have no control, then the situation only becomes worse because then people have an excuse to not try, and they don't.
What we should be saying to people is that they should strive to be better because that's the only sure way they can hope to improve their situations. Waiting for other people to help you isn't going to do anything. The only thing you have control over is your own life. If the public discourse around these issues focuses solely on how other people have control and how you have no control, then the situation only becomes worse because then people have an excuse to not try, and they don't.