Common sense and intelligence go a long way, but unless pilots' common sense and intelligence are fundamentally different, I doubt that it makes them aware offhand of, e.g., the effects of stress on decision making and communication (fostering plan continuation bias, a narrow attention focus and reduction/elimination of communication with the other crew members when in all three instances the opposite would be more helpful).
IMHO, CRM should not be a substitute but an enhancement of "pilot-specific" common sense and intelligence.