Conservatism may mean something very different to blacks than to whites, on the whole. It is possible to express cultural conservatism while rejecting class privilege. Very few black people will ever endorse any white politician of any kind who endorses or even seems to hint at an endorsement of any genetic inequality of black people.
But even with blacks whose demographics are similar to those of white people who ordinarily vote for conservatives, like entrepreneurs and business owners, may have less of a stake in conservative ideology. The black owner of a small chain of grocery stores may have a clientele that relies heavily upon food aid; a black physician or dentist may rely heavily upon clients getting government-subsidized medical aid. Such entrepreneurs and professionals will often show themselves more concerned with revenue sources than with taxes as would be so with white business owners who have a middle-class clientele.
Aren't there white professionals in poor neighborhoods like that?