It's the same ability. Lie detect fails because of Miller. It actually should return "lie", but I have no idea what Naomi used to actually lie detect. Given what they were trying to use later, with Indigo... I'm going to assume it wasn't a clear enough statement. To be entirely clear, if I said "I am Town", it should return "lie". The reason for this is, because of Miller, if an ability is used to discern my alignment, it will return a scum result