Racial and
racist are not the same thing. I'm going to assume you meant racist because the very mention of race is, of course, 'racial' - but there is no implied negativity in the word racial.
I thought you were objecting to the phrase 'brown people', which is why I made the 'pink people' comparison. From this post it seems you are objecting to the fact the poster voiced a need to see / be around black people and that maybe you'd feel the same about the comment had she used the phrase 'black people' (?).
I'd agree with you that in an American or European context that me, a white person, making a similar comment about wanting to be around white people would be racist, or at least potentially so. However the context is key - in America or Europe white is the majority and there is a history of discrimination of non-whites. For a black person to want to go to a place in America with cultural diversity and a black population seems, to me anyway, far more reasonable.
The only parallel I can draw in my personal life is being Irish in England. The vast majority of the English people I met / know have no problem whatsoever with Irish people - but just occasionally there were times when the 'stupid Irish', 'drunk Irish', 'terrorist Irish' jokes (or so-called jokes) came a bit thick and fast and I felt like I wanted to be in a place where there were more Irish people around and less chance of feeling like a minority, an outsider. I didn't know many other Irish people but found that hanging out with the Asians and black people I knew was similarly beneficial. Of course the key difference is that no one discriminated against me or made 'jokes' based solely on my appearance - that's why racial discrimination is worse than the kind of thing I have experienced, because a black person doesn't have to open their mouth or give any background information to be perceived as 'different' by the kind of people who seem to believe in the significance of such differences.
So while I see your point, and agree it is more valid than the point I thought you were making, I still don't think there is much negative about an American black person wanting to be around other black people in America. I wish that weren't true - I wish it didn't matter and none of us ever had to think that way - but unfortunately racism is alive and well in America and there is at least a certain degree of safety in numbers.