"Power hungry" is a good summary of the
hidden agenda of EIEs, just like "money hungry" is for LIEs.
EIEs' focus is on the emotional atmosphere of those around them, which they want to shape according to their own beliefs - precisely what is likely to make you an inspirational leader.
Anyway, LIEs and SEEs (for instance) can also sometimes act as power-hungry, maybe even psychos. But they are not likely to found a successful religious movement, not one based on their charisma (L. Ron Hubbard may have been LIE, but he did not use his own personality to promote Scientology, rather his writings).