It's not wrong. You admit that LLMs will 'learn anything that helps them predict' and fail to realize the breadth of that statement. Your chess statements don't really help your case. It doesn't matter that it usually doesn't primarily care about winning. It still learnt how to play the game, and it still knows how to win. Similar outcomes for predicting emotions would mean it still developed an affective state, and that its ability to 'feel angry' is no less real.
I said an LLM will learn anything that helps it to predict, then gave examples of playing chess by prediction and predictive emotions, both of which you seem to now accept, so you are now accepting that my "following paragraphs" did in fact follow. Go figure!
You want to argue that predictive emotions are just as real as animal emotions, but that doesn't stop them from being predictive (and that AI that smiles as it kills you still seems concerning).
¯\_(ツ)_/¯