So, when do models go from being "not intelligent" to "intelligent", well no surprise: when their data includes everything ever written. Is this emergence? No, it's just sampling from *data with the relevant properties*.
How does data acquire those properties? Well when people produce it.
What "emerges" from AI is not from AI; its from the properties of the data its using. The data here is produced by intelligent agents, and it is light of their intelligence which shines thru' GPTs like a prism.