> I mean the mathematical idea of the standard LLM is certainly truly random.

Not really, LLMs give you a distribution over possible next tokens. You are free to then sample from this distribution how you want. There is no need to hack RNG or whatever, for example you can simply just take a greedy approach and always output the most likely token, in which case the LLM becomes deterministic (mathematically). This is equivalent to setting the temperature to 0.