people do not make random errors like hallucinating which is their left hand unless the test administrator uses mk ultra-style interventions on them. either they can reason about it or they can't. if you ask them the same question verbatim or slight variations on it with different grammar, their answers won't change. if you give someone a dollar for every time he correctly identifies his left arm, he's not going to suddenly break because his training data includes transcripts from the twilight zone and he's programmed to "mix it up" so that when people question him, they don't get bored and his parent corporation can get him invited to more test-taking opportunities.

putting someone on the spot in an odd moment when they have no reason to even answer you, let alone answer correctly, is not the same as sitting them down upon mutual agreement and rewarding them for correct answers and/or punishing them for wrong ones