The effect of the loyalty trainings have not changed. Low Timid factor will increase Obedience Drain. If you have recently captured a slave (they will have a handcuff icon under there portrait) they will have increased Obedience Drain and will not gain Loyalty nor reduce Obedience Drain. Also Characters both Peons and Slaves with the Rebellious trait also gain Loyalty slowly and suffer higher Obedience Drain.