That could make a good character, just a different kind of character. It’s harder to sell the idea of an African-American billionaire as a spoiled brat since there are only two in existence (Oprah and Michael Jordan) and they both worked their butts off to get to where they are.
I once had a discussion with someone who thought that Superman’s race (or rather his appearance/skin tone since he’s not technically human) wasn’t relevant to his identity. I had to remind them that at the time the comic was written Kansas was a Jim Crow state where an African-American (or dark-skinned Kryptonian) would have grown up with a very different impression about what “Truth, Justice and the American Way” meant.