[KhanMahGretsch]

I have a hypothesis: perhaps we should interpret "would anyone like the last pork chop?" as "Does anyone need the last pork-chop?".

Scenario A: the Provider offers the last piece to the group. If everyone is sufficiently satisfied and grateful for what they've already eaten, it allows them to express that gratitude and the Provider gets to enjoy being magnanimous; a small-fee to pay for the meal you've just enjoyed!

Scenario B: the Provider offers the last piece to the group, and one who may be in need is allowed to 'save face' by not having to say "I need it, I'm starving!". If this need is genuine (it would likely already be known to the group), the Provider would probably have no problem with this, and it causes the minimum amount of discomfort to the person in need.

Scenario X: You offer the final piece, and some opportunistic vulture swoops in with his fork and says "Thanks bro!". You have now learned to never, ever invite him to eat again.

Edit: offering to split the last chop is slightly beneficial in the short-term (yummy pork), but no one really gets to reap the non-tangible rewards described above to the greatest effect.