Yes, but if such parents were conservative they might pass their conservatism onto their kid. And it just wouldn't be right to have a black kid who went through the supposed obstacles which supposedly blocked his way without properly complaining about how he couldn't accomplish anything because of all the roadblocks put up by the evil white man.
The real danger to the race baiters would come when there was a statistically significant number of black children raised in "white" households. If the numbers show that these children were statistically more likely to succeed, then it would throw the whole race excuse out the window.
It would show, as I've said, "It's the culture, not the color". Instilling "responsibility and success oriented" instead of "excuse oriented" values in a child works almost every time.