I went looking for the stats just to see how much weight we could give to your hypothesis

https://www.ojjdp.gov/ojstatbb/population/qa01202.asp?qaDate=2022

Now we don't have stats of SovCit by skin colour, but if it truly tends to be men trying to dodge childcare payments then it seems realistic that there would be a surprising number of black men (even if the movement tends to be associated with people leaning right) considering that a higher % of black families are raised by a single mother...