"On average, there is a significant reduction in recidivism rates in the treated groups. The odds to sexually reoffend were 1.41 lower for treated compared to control groups. This equals a sexual recidivism rate of 10.1 percent for treated offenders compared to 13.7 percent without treatment. The mean rates for general recidivism were higher, but showed a similar reduction of roughly a quarter due to treatment."

https://onlinelibrary.wiley.com/doi/full/10.4073/csr.2017.8

I wanted to find a. good break down of recidivism based by crime but they are all pretty biased: https://www.prisonpolicy.org/graphs/sex_offense_recidivism_2019.html

The point I what to make is that by addressing material interests the highest recidivism crimes would be addressed as those trend not to be solved by mental heal, i.e property crime. However violent and sex crimes can be addressed by mental health and trend to have lower recidivism rates as people are generally good it's the horrific society around them that forces them to illegal means to survive, if a law is unjust a person is just in disobeying it.