That is funny, because of all the problems with LLMs, the biggest one is that they will lie/hallucinate/confabulate to your face before saying I don't know, much like those leaders.
This topic needs careful consideration and I should use more brain cycles on it. Please insert another coin.
You could make the user interface display the output more slowly "when it is unsure", but that'd show you the wrong thing: a tie between "brilliant" and "excellent" is just as uncertain as a tie between "yes" and "no".