But that's the thing. She had a plausible denial, claiming she misunderstood the explanation because Smile shifted from "vote for killing" to "vote for not killing" in his description. True or false here is irrelevant, the point is that she actually takes into account how people may react and try to plan for it.
Levin has made it his life's mission to antagonize as many people as possible. Like here in the beginning, it's like he's trying to get Fox to snap.