No matter how much the society at large wants to tiptoe the subject, the concept of race has never fell into disuse wherever facts really matters, such as in healthcare or the legal system.
I don’t understand your examples. How does race affect medical treatment of an individual? Should people be treated differently in the eyes of the law depending on skin color?
If you see medical care as going beyond just treatment but also inclusive of education and preventative measures, then if you don't factor in race you will be doing a disservice to members of races that are more susceptible to certain diseases.