For lack of a better word, I'd also have used "determinism". But to borrow a bit from TFA, what I'd really mean by that would some kind of "semantic determinism": for any input source code in a well-defined language, a correctly working compiler will always produce output that's semantically correct for the input.
Let's say a compiler implementation internally does something random or nondeterministic but that the nondeterminism does not affect the semantics of the output. You could argue that the compiler is technically nondeterministic, but in terms of program semantics it would still be deterministic.
I assume that's what people mean when they say compilers are deterministic in comparison to LLMs.
So in some sense the post is correct, but I think the author is somewhat pedantically misinterpreting the way people use the word "nondeterminism".
IMO prompt sensitivity is something different. A prompt does not unambiguously describe full program semantics in the first place, and the neural network would not contain an explicit mechanism for producing semantically matching output even if it did. Prompt sensitivity comes on top of that but isn't the core matter.