Sounds like there are two jobs here: babysitting, and teaching. Both are valuable, though likely that the former isn’t as difficult skill to master.
Though, it's not really that clear-cut a division. When I worry about how to manipulate students into doing the minimum readings (say an hour a week) for a class that they voluntarily signed up for and paid for, is that babysitting or teaching?
If kids start climbing on things and throwing stuff no one is going to pay attention to math.
The thing about classroom control is that it is easier to notice early signs and stop the situation from escalating into behaviors that need to go through a whole punishment process (possible student trauma, paperwork for the teacher and administration), and so teaching how to correct things early and keep things controlled is a win-win for the student, teacher, and administration, and also the rest of the class.