"Schools are responsible for children while they're at school." is pure Barbra Streisand.
You're her father, bunky. You are responsible to see that she gets enough to eat.
I think that is what he is saying / doing - exercising his responsibility and showing up the school / food police mentality at work. The schools want the control without the responsibility, they want the FLOTUS to hide behind and they want nobody to complain to THEM! It is classic bureaucracy and it is the arteriosclerosis of our nationalized education system! The Department of Education should be annihilated with prejudice!