Let's be clear that being arrested for a new crime is different than being convicted of a new crime. Given that none of the murderers in that overview went back to prison, I'm inclined to think that their conviction rate is low.
Keep in mind also that being an ex-con in a community likely puts you at the top of the PD's suspect list for new crimes, and that reintegration with society is difficult, so imprisonment (regardless of crime) makes recidivism more likely.
Intuitively, it makes sense that "statistically, it does", but if words have meaning, than "statistically" means literally there are statistics demonstrating the assertion, and so far, bupkis