Hi, Jackson. Thank you for your interest in my post. Here is the question as I understand it:
Question: How would Cain's statements appeal to people (subsequently referred to as "racists") who actively dislike black people?
I think it is clear that statements which tend to make black people as a whole look bad would be particularly appealing to racists. Consider Cain's statements:
"A lot of these liberal, leftist folk in this country, that are black, they're more racist than the white people that they're claiming to be racist."
This statement is about "a lot" of black liberals. Most blacks are left of center, (they're about ten times more likely to be Democrats than Republicans
Republican Base Heavily White, Conservative, Religious). By calling them racist, Cain can be plausibly seen as criticizing the black community, which as I've said I think has a clear appeal for racists. He also defends white people who are accused of being racists. Since racists are more likely to be called racist, this too doubtless holds appeal for them.
Cain also said that he didn't "believe there is racism in this country today that holds anybody back in a big way."
Given the demonstrable problems in the black community (education, income, life expectancy disparities) someone must be to blame for them. If it is non-blacks, then we can blame racism. Otherwise, we must blame the black community itself. Thus, when Cain denies the significance of racism he not only again indemnifies actual racists, he also implicitly blames blacks for the problems in their community. Again, this should appeal to racists.
Thus, regardless of whether Cain's remarks are true or fair (I don't think they are) or whether they can appeal to non-racists (I think they can) I think it is clear that they hold more appeal to people who dislike black people than to people who like black people.
Of course he also makes many remarks that hold no particular appeal to racists. A few, most prominently his criticism of Perry for the name of the hunting cabin, probably were particularly
unappealing to racists.