So, funny thing about that verse he's invoking. "The rod of correction" is extremely vague language, and there's a very good chance it was a metaphor referring to measuring sticks. Back in Bible times and for quite a long time afterward, it was common for people in charge of things to own rods used both as symbols of their authority and as gold standards for units of measurement. If anyone disagreed on how big something was or should be, the person in charge could step in and set the record straight. That's why we still call them rulers. In contrast, there's not a single verse in Scripture where someone actually uses a stick to hit their child.