You can hook computer randomness up to truly random* quantum processes with fairly simple specialized chips.
I know.
Building your argument on such an easily avoided technical detail isn’t wise, because the question can very easily just be asked for a computer that does have access to a source of true randomness.
I'm not building my argument solely on this, but maybe I'm being unclear, so I apologize.
Let's do exactly what you propose; now we pass a seed to the LLM generated from a true hardware-based random number generator. That doesn't change anything about the LLM itself: it's still deterministic. I don't think it's reasonable to claim that a deterministic algorithm can be conscious, and I think there are other factors as well (the fact that it doesn't exist continuously, it exists for brief periods simultaneously in thousands/millions of instances at once, the fact that it is static and unchanging unless re-trained, etc) which all paint a pretty clear picture that it cannot have consciousness.