This rationalization assumes racial homogeneity and race-wide privilege that simply doesn't exist.
Actually, most black people in this country share a culture to a greater degree than most white people. (I.e. the cultural differences between two randomly selected white people are likely to be greater than the cultural differences between two randomly selected black people. The size of the respective populations guarantees that.)
I think, because of this, they need more organizations interested in improving their lot, by way of their culture. Most of the existing organizations, unfortunately, seem to be more along the lines of those complained about by Booker T. Washington:
“There is another class of coloured people* who make a business of keeping the troubles, the wrongs and the hardships of the Negro race before the public. Having learned that they are able to make a living out of their troubles, they have grown into the settled habit of advertising their wrongs – partly because they want sympathy and partly because it pays. Some of these people do not want the Negro to lose his grievances, because they do not want to lose their jobs.”
The problem is not the race (or culture) centered organizations themselves, but the focus of said organizations. Sadly, the Booker T. Washingtons of today are ignored and decried by the "grievance profiteers."
*I know he's HORRIBLY racist for using such a term when it should be "people of color", not colored people. COMPLETELY different things.