Checking the traits list, here they are:
Rational_Concerns (1) - TroopMorale 1
Superstitious (2) - Management -1
Hugely_Superstitious (3) - Management -2, TroopMorale -1
So, Rational Concerns means he plans ahead and is ready for unforeseen consequences, making his troops happier. The potential development for it is into superstition and paranoia, which would mean taking weirder and stranger steps to ensure success and safety, which would negatively impact his work.
Rational_Beliefs (1) - Management 1
Pragmatic (2) - Management 2
Utterly_Pragmatic (3) - Management 3, Influence -1
Rational Beliefs seems to be a measure of pragmatism. So, if it works, he does it. This makes him more efficient, but at Utterly Pragmatic he comes off as a jerk.
Devout (1): Influence 1
Religious (2): Influence 2
Honours_The_Gods (4): Influence 3
Venerates_The_Gods (8 ): Influence 4
Faith is just that; their worshipfulness. Note that it doesn't have any negatives, as this is simply their piety. There is a trait for thinking that you ARE divine, and that isn't any good. There's also traits for being Atheist and sacrilegious, which makes people very unhappy.