If you can find a way to keep food from rotting, it may not be the worst idea.

[He's not agreeing to anything yet, exactly. The idea of working together is annoying, but he's a cook(and prince!) and leaves, nuts and berries only offer so much. He's not a fussy eater, but he knows a few so more variety could be good thing.]

At the very least it might help maintain health.

[He doesn't know what 'Vegan' means, so constantly eating leaves is sitting a bit poorly with him. Meaning he's never heard of anyone who simply ate plants. Hunting or fishing is always available in some form.]

There's no fire to dry or smoke it. Then their is the matter of portions and who gets what.