It bugs me a little that "fidelity" has connotations other than "faithfulness to an original"---fidelity should be basically the same as correctness here!
That’s really not the highest fidelity interpretation of “fidelity.”
Fair, but correctness should be a necessary component of fidelity.
My dictionary writes: "precision * accuracy = fidelity".
If correctness would matter anymore, people wouldn't be using LLMs in the first place.