I prefer seeing more diverse stories told through diverse characters. Variety is the spice of life. In general, I think you'll get more diverse storytelling when you feature more diverse characters. OF course, there's always exceptions: Franklin in GTAV was a person of color, but his story was by far the most generic story of the three main characters in that game. But, I think Franklin is the exception here, and Rockstar showed a lot of growth with story telling in RDRII. I found the stories of the PoC and minority characters in Dutch's gang to be as interesting or more interesting than most of the other characters.
I do think we need to wait until the dust settles on a new game before determining if the character is generic or not, or if the game is not representative of diverse storytelling, just based on how they look in a trailer, reveal, or when the game first launches.
For instance, a major thread popped up when RDRII was revealed putting Arthur into the "Generic white guy" category, and then dismissing the game as being more of the same. And yet, after playing it, RDRII is one of the best examples of diverse storytelling as you can get... Authentic, never cheesy, not a cop-out, doesn't just have a PoC or minority character for the sake of one and them having them just have a generic story (I see Franklin from GTAV in this way). Charles Smith, a character with a native American mother and black civil war soldier father, is one of my favorite characters of any game in years; Tilly Jackson, a black character, has a great personal storyline; Sadie Adler, while not a PoC is an assertive woman outlaw and it's not just a copout, being a woman is integral to her storyline in a way that very few games ever try to address in that way. In an industry where so many minority characters are more or less caricatures of real people, Red Dead Redemption II does it better than any other game. WIth Charles Smith, RDRII does what a lot of minority characters in even other industries like books, movies, and TV shows, don't do well. So many movies, TV shows, etc., make the native American characters as just "noble Indians," removing their flaws and making them like supernatural ubermensch, with very few genuine, human interests and characteristics. RDRII Doesn't do this, it's among the best of any mainstream entertainment medium.
There was a vocal minority who criticized Rockstar for Arthur's design prior to RDR2 coming out, criticizing him as generic... White, with coifed hair, not grizzled, handsome, which they found boring. But, the character was anything but boring; was anything but a cleancut handsome man, especially as the story progressives, and he has real depth. I think it's fair to wait for the games to come out before judging them, because if we brought back that thread about RDR2, all of the people harshly judging the game before it came out would be embarrassingly wrong.