Almost none of this is relevant to the discussion here -- I'm not interested in philosophical discussions of consciousness when it comes to the question of whether an LLM is conscious. Though I'm already aware of most of what you said here, and the philosophy of consciousness is interesting in general to me!
If you could actually prove that it is impossible for a machine to be conscious
Quick nitpick: I never said it's impossible for a machine to be conscious, I said it's impossible for an LLM to be conscious. We may well invent something new in the future that qualifies as both "machine" and "conscious," but an LLM is not that thing.
When people ask "is an LLM conscious?" I assume they're asking from a practical, scientific perspective -- does the LLM experience the world in a similar way to the way I (and presumably, others) do? If that is the question, the various definitions I already posted are what we should be using to answer. Since an LLM is a deterministic algorithm whose only purpose is to generate a plausible response to input based on its training data, it cannot possibly think, or have feelings. It does not even exist continuously in time, and it is fixed and unchanging, unable to incorporate any new information at all. We don't actually need to measure or test anything here; that an LLM lacks all of these things demonstrates that it's not possible for it to be conscious.