Similarly, there is a body of scholarship that suggests that black physicians trust black patients more than white physicians trust black patients. If I am black, does the color of my physician matter when I talk about something hurting? The evidence suggests that it might.
The fundamental flaw in basing your moral philosophy in measurable metrics is that metrics are noisy and that noise will often undermine your point. Instead, you should be making a purely moral point: my doctor’s skin color shouldn't matter and I will act to make the world I live in more similar to this ideal. That moral point is the driving force behind the civil rights progress that has been made.