LLM emulate cognition, there is a huge difference, it's a mimick process not genuine
if you read about psychopaths/sociopaths, they do not comprehend emotions but they can learn to emulate them by watching others and mimicking them
that's exactly what LLM is doing, it is taught to assemble words in a way that mimics all the humans in its huge datapool, so it comes off as "cognition" because that's what the humans it's emulating were doing
LLMs don't have conscious processes that perform that kind of reasoning.
If anything the fact that they are blackboxes to their own behavior and are able to non-verbally empathise, is the opposite of what you describe.
Your requirment for something supernatural/quantum to decide between emulation and real thing is self referential.
If only we could tell either way, we'd have made a huge breakthrough in the philosophy of consciousness.
If it's not in the inner COT it isn't there.
An inner monologue isn't something all humans have[0]. It is unclear to me how well (or poorly) Chain of Thought mimics intrapersonal communication. J-space probes (and other things) suggest there are, in fact, other aspects to LLM "thought" besides a CoT scratchpad[1].
However, regardless of how those questions pan out, qualia (of emotions in this case, but the problem is in general) is its own mystery, one for which we are still, so far as I can tell, unable to make progress with.
We kinda know what emotions are for, what function they serve in our genetic fitness, but why do they feel like anything? We do not know, they just do.
[0] https://science.howstuffworks.com/life/inside-the-mind/human... and https://en.wikipedia.org/wiki/Intrapersonal_communication