Your explanation is as useful as describing the behaviour of an algorithm by describing what the individual electrons are doing. While technically correct, doesn't provide much insight or predictive power on what will happen.

Just because you can give a reductionist explanation to a phenomenon, it doesn't mean that it's the best explanation.

Then give a better one.

Your objection boils down to "sure you're right, but there's more to it, man"

So, what more is there to it?

Unless there is a physical agent that receives its instructions from an LLM, the prediction that the OP described is correct.