The way NN and specifically transformers are evaluated can’t support agency or awareness under any circumstances. We would need something persistent, continuous, self reflective of experience, with an internal set of goals and motivations leading to agency. ChatGPT has none of this and the architecture of modern models doesn’t lend themselves to it either.
I would however note this article is about the cognitive psychology definition of self which does not require sentience. It’s a technical point but important for their results I assume (the full article is behind a paywall so I feel sad it was linked at all since all we have is the abstract)