It's a post apocalyptic RPG. I'd quite enjoy scavenging for food.
Hell, the F2 (Or was it 1? I forget) devs planned a hunger system - there's even some leftover code for it ingame.
I do think food should have a use, but be optional. Like drugs but with smaller bonuses and no downsides.
Food cures weakness, increases your heal rate. Maybe even the best stuff gives you bonus hit points/strength/whatever for a while.