I am interested in where playing characters of those ethnicities sits in the current climate. Is is cultural appropriation or "yellow face" for Caucasian and Western players to play ethnically Asian characters? Would it be considered acceptable if a Caucasian member of Critical Role, for example, created a played a character that was identifiably of African descent? Does it matter whether it is at home at a con, or on a stream? I honestly don't know the answer to the question, and as a middle class, white, straight identified American male, I am not sure I am qualified to answer.
As I said earlier, we don't want to segregate gamers due to their ethnicity. That's also wrong.
And secondly, if it's your home game, then no, it doesn't matter. We can't and shouldn't police what people do in their home. All you can do is, if you find out people you know are being bigots at home, is to then not associate with them.
It really comes down to trying to play the role honestly. I'm an asexual, autistic woman. I don't care someone wants to play an asexual or autistic person, or if a man wants to play a woman. Yes, there are going to be people--a lot of people--who are going to play those roles "wrong." Playing a woman just for sexual reasons (I knew a guy in college who said he liked playing women because 'they can have multiple orgasms'); playing an asexual person just so they can be "cured," playing an autistic person for ableist laughs. If I discover media where someone
is playing those roles in a bigoted way, I will not watch/listen to/read that media, and I'd likely tell my friends how bigoted that is. If I discover that one of my friends was playing someone like that to make fun of the group, that person would likely quickly become an ex-friend.
But on the other hand, they may also play them "right," by which I mean, play them like
people. Because when you get down to it, what's most important is realizing that people are people.
As an aside: one of my friends told me earlier in the week that he kickstarted a book collection of mini-LARPs, one of which is "specifically about what it's like to be asexual in a society that doesn't grok that" (written by someone who is asexual). Personally, I find it kinda weird, because from what he told me, it sounds more like a bit of theraputic roleplay rather than an actual game, but LARPs can be weird like that. And this might end up educating some people.