There are plenty of white directors who would have done a better job with this material (Paulus, Warchus, Kail, Timbers, Sher, Marianne Elliott) and maybe one appropriate Black director with a good track record (George Wolfe).
I don't think it's the worst thing in the world if the Producer and Director are white when the bookwriter, 4 composer/lyricists, choreographer, MD and Music Supervisor are all Black. It's a balance, and if they're aiming for Broadway then they know that reaching to a wealthy white audience is essential.
The bigger issue for me was not race, but gender: Jenn Damiano and the other female roles are so abysmally written, and those aspects almost certainly would have been better with women in high-ranking positions on the production.