There are so many ways to interpret this scene. Right now I'm trying to follow Lucia's thoughts... they never made much sense to me, just seemed cliche. But now I'm starting to read some delta Te in here.
That whole speech seems to be Lucia grappling at once with teamwork, which she doesn't believe in, and absolute authoritative control, in which she does believe. But why are these mutually exclusive? The only thing I can read into it is that that a situation without authority (a god or supreme ruler) could be interpreted as being a negative form of Te, in which she doesn't want to place faith.