I think so.
Otherwise it would go against the "normal" criminal behaviour.
The only way to know would be to look at crime stats from 40 plus years ago. Not just basic stats, but recidivism and the like.
The way things work now, criminals know that they will never face execution (except in Texas, thank God!), practically never die in prison unless another prisoner kills them, and likely serve one third of their actual sentence. That is, if they get arrested and then are judged guilty.
Bring back public pain and public shame and the crime rate will drop like a stone.
Since when is there such thing as "normal" criminal behavior? All criminal behaviour is abnormal.