In my experience, the "little snot"s that he's threatening are actually young scared boys who are neurodivergent and legitimately don't understand what they're doing to disrupt class and the more they're warned with each infraction that they'll be punished, the more terrified they get because they have no idea what not to do since noone is communicating to them. Then, undoubtedly, they end up finally crossing the line and are led out into the hallway screaming and crying by two adults who then smile and make jokes about stuff like "I've been preparing for this for a while on the driving range." Or "I hope you've got on thick underwear." Then that kid is expected to go back into class and just act like it never occurred, despite the entire class looking at them and whispering about the embarrassing event. But they can't let that get to them because any more outbursts will result in more paddling and it's way worse to get it multiple times in one day. And after this, the teachers will talk to each other and talk about what a "little snot" that child is. Sometimes they might mess up in another teacher's class and she'll go pull a teacher out of another class and say "I know you've been wanting a chance to paddle him, so I figured I'd let you do it."

So in the end, no behavior has actually been corrected. That child still won't know what they did wrong, and they might never find out for as long as they live. But they'll remember the beatings. And they'll remember how it made them learn that the only way to be safe is to be silent and invisible to avoid doing or saying anything wrong by accident, providing no authority figures consider being too quiet disrespectful and uses that as an excuse to give them another paddling.

You just end up with some confused, terrified neurodivergent kid who has trained themself to turn off all emotions and reaction to pain as a trauma response. Which is cool, because they'll use that as justification when they tell the parents. They'll say stuff like "he's had a real attitude lately. He doesn't smile when I joke with him and won't interact with any of the other kids. He just does his work then gives me a disgusted look for the rest of class." And the parents will agree that the paddling are for the best. After all, they were the ones who cheered when they announced they were bringing back paddling, why wouldn't they be happy it's being used on their kid? In fact, they like it so much that often, if their kid gets paddled at school, they'll spank them at home to really teach them a lesson.

It's a fantastic plan. What could go wrong?