I agree, but I don't think determinism is a factor either way. Ultimately, if arbitrary computer programs can be conscious, then it stands to reason that many other arbitrarily complex systems in the universe should also be.
What makes the argument facile is that the singular focus on LLMs reveals an indulgence in the human tendency to anthropomorphize, rather than a reasoned perspective meant to classify the types of things in the universe which should be conscious and why LLMs should fall into that category.