I can see what you are getting at but consider:

I had an experience the other day where claude code wrote a script that shelled out to other LLM providers to obtain some information (unprompted by me). More often it requests information from me directly. My point is that the environment itself for these things is becoming at least as computationally complex or irreducible (as the OP would say) as the model's algorithm, so there's no point trying to analyse these things in isolation.