And, like the other commenter said, the temperature may change the distribution of the next token, but the reasoning tends to reel those things in, which is why reasoning models are notoriously poor at creative writing.

You are free to run these experiments for yourself. Perhaps, with your deeper understanding, you'll shed new light on this behavior.

And if an LLM is consistent, even with a high temp, it could give the same PR the same grade while choosing different words to say.

The tokens are still chosen from the distribution, so a higher probability of the same grade will result in the same grade being chosen regardless of the temp set.