To answer Sunfish's original question: "What does a peckish pilot do?"
A peckish pilot eats! And does so at an appropriately low workload time eg cruise and stops eating to attend to tasks that fall due.
Sunfish, your original statement makes a presumption & then you proceed as if it's a fact.
Let's reverse the situation: A pilot has a long flight time day eg 5 or 6 hrs airborne, that involves minimal time on the ground & without access to a fast food shop. Do you think that a hungry pilot with possibly low blood sugar having to make an instrument approach to minimums is safer than one who, during a cruise segment eats a sandwich while watching out the windscreen & monitoring the instruments?
It's not hard to eat & fly. You eat &/or drink while driving don't you? No different while flying. It's arguably easier since you don't have to ensure separation from opposing traffic closing at 200kph with only 10' separation and can choose the quiet(er) moments. Even easier if the a/c has any form of autopilot...