While I can kinda understand the logic there, especially for cheathac since she is new to the game and admittedly the plan was a bit confusing initially, I have to question what STL would possibly have to gain from lying on D1. It was pretty clear in the writeup that he was injured and was going to die regardless; he claimed that he was the dying person alluded to in the writeup and absolutely no one refuted it and/or said "Uh, no, he's full of s***e, *I* was the one who was attacked". Sure, he could have been lying about Nohika's protection should she be a villager---but then I'm sure that he would have been a prime lynch candidate for the next day had he had the gall to revive himself after the ordeal (assuming that he was being truthful about having the revive ability). To lie like that so blatantly and so early on in the game would have required some serious cojones on the part of STL, wolf or not. If he was not lying about the protection and Nohika turned out to be village, then she would have been protected, STL would have died, and nothing else would have happened, effectively making D1 a free day.
Yes, STL pulls some crazy plays and lies out of his butt as a wolf sometimes but usually it's fairly late in the game that he does that... I couldn't see him lying about something like that so aggressively so early into it. He's smarter than that. That's why I (and clearly a lot of others) went along with it as quickly as we did. It was a relatively low risk move for the village and it paid off.
As I said, I can understand cheathac having that line of logic, but I'm pretty darn sure that you've played at least a few games with STL before... so I am surprised that you went along with it as you did.
Regarding cheathac, I had mild feels for her yesterday but I chalked it up to her being new/inexperienced. I felt way, way safer voting for Lyra, though, so I stuck with that.