Those white men who do care about black women seem, on average, to be quite loyal. Enough, in fact, that the divorce rate of black women with white men was one of the lowest around (maybe the lowest--they're not clear), according to https://www.divorcesource.com/blog/interracial-marriage-and-divorce/

The data's old--almost twenty years out of date--so it would be great to have something more recent (I haven't found anything yet). But that's still helpful in setting expectations about how to find a stable relationship, if that's what someone wants.

(Note--the statistics above may reflect some degree of selective effect: because of cultural taboos, maybe only the most committed relationships are strong enough to survive. Arguing against that, black men + white women have the highest non-white/white divorce rate. Even so, it doesn't negate the point--if people find each other and are able stick through the challenges, it can work out.)

(Further note for the statistically savvy: what isn't reported, but is really the key variable, is the divorce hazard, i.e. the rate of divorce per year. Barring this, divorce rates can be impacted by changing rates of marriage. However, the numbers are still strongly suggestive of some people very much "giving a shit".)