"Because I need to understand, if I am to survive," the words came to her lips unbidden. "Even if I am small, my actions can affect the paths of the mighty and draw their attention."
I don't think this is saying "I am here to influence the King". The important part is "I need to understand, if I am to survive", with the latter sentence being a justification for why knowledge of the greater powers is a matter of survival. Essentially, she's saying that she's there to learn more about the conflict because it could affect her some day if she draws the attention of a power. What it's betraying is that LQ is still in a more Hidden Moon mindset and doesn't really care about the Bloody Moon's ideals. The reason why the Bloody Moon was unhappy with us is because we basically tried to game the simulation by picking all of the pro-Vengeance options despite the fact that neither LQ nor any of the voters particularly cared about that ideal. Shen Hu, on the other hand, stuck to some basic principles and seems to have left it better off.
In terms of what could have been:
Picking the Prince is a huge unknown. Choosing to leave would have been a more overt Hidden Moon action. On one hand, that's not what the Bloody Moon wants, on the other hand it would have a been a more honest decision.
Choosing to go the village
could be interpreted as LQ taking an honest and altruistic act for the benefit of the mortals, or it could have actually run into similar issues of honesty. Would LQ have
really cared about her duty to the mortals or would she have just been doing what she thought the Sect/Empire wanted her to do? I think it would have been a better option regardless but I'm sceptical of claims that it would have led to a Perfect Run or anything of that sort.
The final vote was pretty straightforward. Voters went for the shiny and justified themselves saying that the choice to save Shen Hu would have been meaningless because he can run away, and that the King would never agree to spare the mortals. Were they right? Maybe. But it was a "cowardly choice" in a lot of respects. I'm kinda in agreement with
@Deadly Snark in that voting for Shen Hu probably would have worked out better.
I'm honestly completely bemused by the rhetoric about whether or not we "failed the event". It's quite blatantly not a binary thing, and I'm not sure if any of the events in this quest are. The consequences are quite apparent, we get some pretty textbook boons for doing Vengeance good but are punished for quite obviously not buying into the Bloody Moon despite following its path all the way through. I think whether or not we successfully "learn our lesson" (referring both to the thread and LQ) depends entirely on future development of LQ's trauma. Like, I think
@Katreus has a point in saying that if another scenario like this happened right now we'd fuck it up in the exact same way, but I suspect that LQ's upcoming development and responses to this event will affect, if not our judgement, at least the framing of choices (i.e. LQ's narration) and the choices available to us.
Part of the problem here seems to me to be the whole "story vs game" issue that was kinda going on before the update. So if you're occupied with "what's best for LQ" as the goal of your votes and the quest, her obviously backsliding here is quite blatantly a failure and the result of wrongvoting. On the other hand, if you're like me and just want to read interesting shit, this update was great and the choices worked out in a fun way, hence some voters' lack of regrets.