What is different about the human neural network? People have given LLMs sensors and they respond to stimuli. The sense of self can be expressed as a linguistic artifact that results in an emergent pattern recognition of distinct entities. For example, merely my saying I am sitting under the tree with a friend I have encountered the self as a pointer to me as the speaker. There is evidence from early childhood development that language acquisition correlates to awareness of the self as distinct from other. And there is evidence from anthropology indicating that language structures shape exactly what the self is perceived to be.
Your best argument is that the weights are set because that means it’s not a system that can self reflect and alter the experience. But I don’t see why that is necessary to have an experience. It seems that I can sense a light and feel its warmth regardless of whether my neurons change. One experience being identical to another doesn’t mean neither was an experience.