No, the status quo is that we really do not know. You made a claim why it is impossible for LLMs to think on the grounds that they are statistical models, so I

No, the status quo is that we really do not know. You made a claim why it is impossible for LLMs to think on the grounds that they are statistical models, so I disproved your claim. If it really was that simple to dismiss the possibility of "AI", no one would be worried about it.