What does self referential have to do with anything? These LLMs have proven they can "talk about themselves".
an individual act or product of thinking
Emphasis on "product of thinking". Though you'll probably get all upset by the use of the word "thinking". However, people have applied the word "thinking" to computers for decades. When a computer is busy or loading, they might say "it's thinking."
a developed intention or plan
You could certainly ask this model to write up a plan for something.
reasoning power
Whether you like it or not, these LLMs do have some limited ability to reason. Far from human level reasoning, and they VERY frequently make mistakes/hallucinations and misunderstand, but these models have proven they can reason about things they weren't specifically trained on. For example, I remember seeing one person made up a new programming language, never existed before, and they were able to discuss it with an LLM.
No, they're not conscious. No, they don't have minds. But we need to rethink what it means for something to be "intelligent", or what it means for something to "reason", that doesn't require a conscious mind.
For the record, I find LLM technology fascinating, but I also see how flawed it is, how over hyped it is, that it is mostly a stochastic parrot, and that currently it's greatest use is as a grand scale bullshit misinformation generator. I use chatgpt sparingly, only when I'm confident it may actually give me an accurate answer. I'm not here to praise chatbots or anything, but I also don't have a blind hatred for the technology, nor do I immediately reject everything labeled as "AI".