Looking back on the choices (all of ~2 hours after I made my vote), I feel that the current 26-2-1 landslide vote in favor of Option 3 is due to the other two being 'wasted' options, in that they offer a range of solutions that we do not under pressure to trade off against. We've previously covered our own reasons for what we are aiming for to various audiences; ourselves, the Ministry, General Xia, the White Sky, to Rexiang, to the larger Cai court. In those votes we've clarified our own understanding of our goals and navigated the biases of more powerful cultivators under the pressure of trying to hone towards truth while juggling priorities in what to emphasize, elide, or leave undefined.
With this audience, most of those present are either on our side and/or subordinate to powers that we've already addressed ourselves to. The primary challenge was posed to us by Sun Liling, who suffers from having the aura of threat and power that her adaptation and close link to her grandfather. With a lack of secondary Sun characters, my image of what the factions within the Sun family that we might have theoretically influenced/made our case to is Sun Liling -> Sun Shao/Red Garden. We're caught between either lying to an unknowable distant force for nebulous gain and certain penalties, or running against our own points made to our allies superiors.
I found it hard to imagine how the first two options would gain us anything with the Sun or our allies in exchange for running counter to arguments that we previously made to more powerful figures, so I decided to just be honest with what sounded the most like 'our true' goals.