I am happy to make this concession provided I can either start making my lunch on company time, and then commute after I have finished making my lunch, or be allowed to fully go home, make and prepare lunch, dine, and commute back to work.

Oh, is that unproductive, a waste of time, money and energy, and massively impairs my ability to get work done?

Someone should draw some kind of conclusion from that, it seems.