first off any study conducted on goyim i will disregard. they have no concept of right and wrong, and most of them hit for the wrong reasons. hitting is to teach your kid a lesson he will never forget, but not the way they understand it 😀
as for my wife, no. i would not advocate beis din beating her.
1) beis din does not do it out of love.
2) the marriage is over.
3) you can reason with your wife, with children you cannot.
you are NOT teaching him to solve problems with your hands you are teaching him not to do X. if the lesson he is getting is to hit when he doesn’t get his way, then once again…YOU ARE DOING IT WRONG!.
and for your information i truly do understand the difference between the wrong way and the right way. i say my grandfather used to hit me and that i don’t resent him for it, in fact a applaud him for it. my mother lived there too and hit me. for the wrong reasons and in the wrong manner. i resent her greatly. so trust me when i say i know the difference.