Lysithea can recognize thinly veiled power grabs by unsuitable people when she sees it, given the way her world works and how frustrated she is with everything about her world. She disapproves of any attempt to create political conflict while things are going this poorly in Deerington. She also just died so she's going to be extra grouchy about it.

In Ch. 2 she will reluctantly concede that if they're in it for the long term, they're going to need some semblance of organization. She will be in support of community building over politics and will be opposed to any idea of a council having actual law making power, judgment of crimes, etc. She will also be hypocritical and only support her personal friends, which happens to include Wu, but we'll see how that shakes out.