If Komako was so nice, couldn't she tell everyone that Satsuki saved her life by preventing her from getting decapitated by a signboard that was falling? She saw Satsuki risking her own life to push the sign away from her, whereas if it fell straight down that bitch would be a headless horseman. Yet, later, she acted as if Satsuki was trying to kill herself by jumping off the roof (...with a signboard?) and has never even acknowledged that she saved her life.
I dunno, man... If someone who had a terrible reputation for "lying" went around telling me and everyone else that I was going to die that day and later they prevent me from dying and I see it with my own eyes... I'd at least acknowledge that they saved my life.