Good piece. I see that you cited my own! Thanks for that.
I’d like to focus on this section and expand on it with some educated guesses.
I suspect that the higher rates of violent crime are probably found in the poorer neighborhoods of the city. Often, they are the places where the working-class people of color live. I suspect that they, living in a more dangerous environment, also have harsher penalties for misbehaving children too. It is worth noting that African-American culture is, to a large extent, a subset of Southern American culture, which is a very rural culture in general, and when African-Americans migrated North and West into the cities during the Twentieth Century, they brought a lot of that culture with them.
What is the point I am making? Where you might see a lot of corporal punishment in urban America is the exception that proves the rule. It is a preservation of rural values that have, in a sense, been mummified by certain aspects of urban life, whereas people and their values are usually morphed by the process of urbanization. In this case, it preserved it in a unique way.