However, this information protection similarity applies to single-celled microbes as much as it does to people, so the question also resolves to whether microbes are deterministic. Microbes both contain and exist in relatively dynamic environments so tiny differences in initial state may lead to different outcomes, but they're fairly deterministic, less so than (well-designed) computers.
With people, while the neural structures are programmed by the cellular DNA, once they are active and energized, the informational flow through the human brain isn't that deterministic, there are some dozen neurotransmitters modulating state as well as huge amounts of sensory data from different sources - thus prompting a human repeatedly isn't at all like prompting an LLM repeatedly. (The human will probably get irritated).