Who wants clock noon to be the midpoint of the workday? The canonical working hours are 9am to 5pm [Parton 1980] whose midpoint is at 1pm. Many people work earlier and/or later, but my impression is that it's pretty unusual to have the midpoint at noon.
(Schools tend to have earlier times. It's not so unusual for a school's workday to have its midpoint at about noon, I think.)
9-5 sounds so luxurious in today’s 8-6 world where comms start at 7am and wrap up around 9pm.
I hope you get paid for being on-call those hours.