Even if there's a small chance pedos will be more likely to offend and learn ways to justify their behavior with therapy, there's a astronomically higher chance that the rehabilitation plan of"pedos face the wall" will lead to making pedos more likely to offend. If the rule becomes "If I molest a child, I will be killed. If I consume CP, whether drawn or real, I will be killed. If anyone finds out I'm attracted to children, I will be killed. If I try to seek help to cure this condition, the doctors/therapists are duty-bound to call the cops and I will be killed"... well, in that case more and more people will go to "...well, if I'm going to be killed no matter what, then I might as well molest a child and at least fulfill this one sexual fantasy I have before they kill me."

This is more exacerbated because most offending pedophiles were, themselves, molested as a child, which means inevitably to really stop pedos, you'll also have to give the child they molested the woodchipper as well (can't give them therapy, they'll justify offending in the future amirite?)...which will only give the pedophile even more power over their victim since "...if you tell anyone what we're doing, they won't just kill me, they'll also kill you for it..." is guaranteed to keep kids silent about their abuse.

The amount of problems for just "pedos face the wall" vs. "let non-offending pedophiles seek help without fear of arrest" is so great that if someone says "pedos face the wall" as the only way to do it, I have to assume they, themselves, are a pedophile trying to plot to put things on easy mode.