I'm arguing against the notion that these LLMs exhibit "emergent behaviour" as you stated. I don't believe they do, as the term is commonly understood. Emergent behavior usually implies the exhibition of some kind of complexity from a fundamentally simple system. But these LLMs are not fundamentally simple, when considered together with the vast corpus of training data to which they are inextricably linked.

The emergent behavior of Conway's Game of Life arises purely out of the simple rules upon which the simulation proceeds -- a fundamental difference.