I was in day care one day as a small child when another child threw a ball of clay and it hit the woman who was watching us. She did not see who had thrown the ball of clay but for some reason decided I was the one who had done it.
My mother worked at the day care but was away on a vacation that week. She had told the director of the day care that she was allowed to spank me if I acted up.
I was taken to a broom closet and told to drop my pants so that this woman who was not my parent and who was only going on the words of another adult could spank me.
I was then put in timeout for the rest of the day. I also was spanked again when my mother returned from her vacation and the day care center director explained what (she believed) had happened.
I did nothing wrong, but I was still subjected to corporal (and illegal) punishment because my mother wanted to make sure I "learned my lesson" or whatever bullshit excuses that adults like you seem to think will come of subjecting children to violent retribution for their transgressions.
The only lesson I learned that day is that I should never trust those who have power over me. They don't care if they are punishing the person who committed "the crime." They just care that they are punishing someone.
Adults who think that physical violence is the only way to change the behavior of people who break the rules or who commit violent acts are nothing more than bullies themselves.
Tell me something, if I came up to you, told you that I'm going to punch you in the face (or cane you, or literally any other form of painful physical punishment) until you learn that your viewpoint is incorrect, would it cause you to change your mind, or would it simply cause you to resent me and start working to find a way to hurt me back.
Why would you think that the threat of physical violence against miscreants, child or adult, would cause them to act in any way different from how you would react?