My comment was more so directed at the schools labeling themselves as such and how individuals cry "racism" or "politically incorrect" when it's convenient for them than the fact they labeled the game as such. People want to be viewed as individuals, not "black" individuals, so why label a school as such? Your Christian example, while a good one, is about a religious background that encompasses individuals of a similar belief... not exactly on par with a "black" school. Similar to a trade school, you are taught the beliefs of the religion and to practice it in life... similar, yet different enough to point out.
But that's beyond the scope of this thread, so I digress.