Replaying the seed will only get you the same result using a particular engine and a particular random number generator
And the seed and rng are all part of the LLM. If you use the same inputs you get the same output. That's the definition of determinism.
Determinism does not care whether or not the user/programmer understands the program or not. The word you're probably looking for is "unpredictable" or "less predictable".