No, it is not good, but the original statement was a generalized statement about all inmates instead of a breakdown of it based on per capita rates. So that would actually have to be done by someone with the data sets to do it, to actually see what the actual effects of single-mother households have on incarceration rates. You also can't determine that just by the percentages shown on the pdf I posted, since those percentages were total percentages coming from each group family structure listed.
The only thing you can determine from that information is that single mothers and two parent households are responsible for the bulk of the prison inmate population, while all other categories are responsible for single digit percentages of the prison population. Now those are quite possible because of the over all percentages of the population who are in those family structures, but overall that would have to be calculated and then weighted with their effect on the prison population based on their overall prevalence in the overall nations family structures.