It was a rhetorical question: there is no possible distinction between a highly sophisticated language model and an AGI. If a language model can't produce all the same answers that an AGI can produce, then it just hasn't reached the level of sophistication necessary to do that.
This is a weirdly dogmatic position.
I would think that an AGI can start a conversation. Can a language model?
In fact it seems likely that the development of internal structures that might develop into the faculties needed by an AGI would, in their intermediate state, make it worse as a language model. Evolution sometimes faces such development gaps, where to develop a capability that would ultimately grant improvements, it would have to go through intermediate phases that would make it worse. Language models are optimised in a very specific way and trained to solve a very narrow problem, compared to the problems faced by physical beings.
So while I cant honestly say no, a language model can never do that, equally there's no actual reason to believe one ever would.
Furthermore I would argue that intelligence is a necessary development in order to create the most sophisticated possible language model, for the reasons described above. Anything less will not be able to perfectly emulate the conversations of other intelligent beings.
This is a problem with systems optimising towards a single specific function. It constrains their optimisation paths.