The problem of other minds persists between any two subjects, not just white and black.
My point is that the history of psychological practice with regard to non-whites, as an institution and a discipline, is shaped and determined by histories of colonial and imperial intervention. Obviously psychology today has moved well beyond many of the archaic prejudices of the last century or earlier, but that doesn't mean that the state of the field today is always taking account of how its very existence plays a role in the minds it's attempting to observe (a limited example of this would be the transference of a subject's associations onto his or her doctor; or, more crudely, when patients want to fuck their psychologists).
Any field involving intersubjective observation (psychology, anthropology, sociology, et al) demands some internal acknowledgement of the limitations imposed by the space of observation - that is, the variable constituted by the very act of observing. In the case of psychology, part of its central goal has been to identify and effectively deal with instances of mental imbalance, but it hasn't always been successful in differentiating mental imbalance from social mistreatment (a major point in Foucault's History of Madness), and a significant part of the latter falls along racial demographics.
I'm sure that Dak will say that psychology's role is to provide all its subjects with the best tools possible to overcome their social position, if that is indeed contributing to poor mental health. Unfortunately, this fails to consider just how much our classifications of mental health are dictated not by actual processes in the brain, but by cultural values. When this happens, we tend to overemphasize psychological methods of treatment rather than large-scale approaches.
An example, off the top of my head, would be the Orlando nightclub shooter. As soon as that happened, news pundits and social media took to psychologizing him, pointing out his possibly latent homosexuality and his Islamism. While these may certainly have had some impact on his mental health, we make an implicit association between these character traits and mental instability when we focus solely or primarily on the psychology of the individual - in other words, homosexuality and Islamism become somewhat essentially entwined with poor mental health.
Now, before anyone objects and says they don't make these assumptions, that's fine - I'm not accusing anyone. All I'm saying is that if you read sociological or historical studies, you'll find that emphasis on individual psychology, with little or no regard for the effect that psychology has on its subjects, tends to result in cultural generalizations, many of which are still with us today.
And that's why I don't think there's a huge problem with emphasizing "black psychology" - because it's foregrounding the fact that psychological practice isn't neutral. It has an impact on its subjects and the evaluation of their mental health.
