"All the more reason to keep the rest of you close."

Even Korra's mood wasn't enough to sway her of that opinion.

"You don't have to hold back because of me, Korra. If you're going to eat, and you want a steak or something, I promise I won't be offended."

Since the cook was going through all this trouble...and Korra was currently dealing with certain abandonment issues...she wasn't about to take her food and run. Even if she wasn't hungry, she might as well nibble a bit.