No Obligation
Jin literally went into a pinch when he gave them the information. He had no idea that Yinn would be so opposed to going against the odds. But in retrospect, it was not her fault to think that way. Jin had always been in the business of doing crazy stuff with his minions and they knew they could deliver results.
But this was not one of such cases.
Perhaps the adrenaline of destroying that many Mechanoids had drugged him to think that he could do anything even being a hero to save them. However, when the entire squad are pressing for a convincing answer for him, Jin was not able to give them one.
His so called absolute authority had not been brought over to this new world that he was in and now he could feel how it is to feel resistance against his own selfish actions. Even in his business, he had compromises that were leaning towards his favour but right now, he had nothing at hand that could make them move for him.