(I don't condone police violence either; I'm laying out a positive argument, not a normative one.)
You ignored the breakdown of your analogy.
Just going to reiterate, if you're hurting your child you aren't spanking, you're beating.
The act of spanking is to strike the butt cheeks to inflict pain as a punishment, there is no other mechanic at play. It is striking another person to hurt them.
> It is striking another person to hurt them.
You added those parts. I said exactly the opposite.
There is another mechanic at play. The fear of getting in trouble and going through the process.
The light slap on the bum isn't even supposed to sting.
But I do agree we are at the limit of productive dialog, have a good day.