There are way more factors that go into the rates of attraction than self hatred. There's a financial aspect, rates of divorce, social and cultural elements, etc. (Using the stats in the link you provided) Whites are still the leading preference across Latinos and Asians and that goes against the claim of blacks self-hatred being the underlying cause of being attracted to whites. The fact that black men have always had a negative attraction rating towards white women leads me to believe that the underlying issue isn't self-hatred; they arent flocking to white women in masses.
If there is one thing that does correlate across the board in every single statistic of every single year by every single race of men and that's the negative attraction rating towards black women. If you try to flip the script of self-hated being the underline cause of why black men don't prefer black women, it doesn't explain why every other race negatively rates black women across the board.
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The negative rating of black women by men and the always positive rating of attraction towards Asian women by all men are the only consistent trend in those stats every year. This also seems to hold up in terms of marriages rates and divorce rates, so those are two stats I'd probably look it to.