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There is a fourth category that fits your description of charismatic people quite well IMO: psychopaths.

The distinction can be quite hard and might take some time.

I disagree that it's a good fit.

https://en.m.wikipedia.org/wiki/Psychopathy

"Psychopathy, sometimes considered synonymous with sociopathy, is traditionally defined as a personality disorder characterized by persistent antisocial behavior, impaired empathy and remorse, and bold, disinhibited, and egotistical traits."

Not quite sure how you got there from charisma.

I met several seemingly charismatic "leaders" in my professional life that turned out to be manipulative egoists that didn't care about the effects of their doings, unless it affected them or their plans. We, that were affected went on to call them sociopaths. I am not a health professional, so we might have misused that term.

I was actually looking for the term sociopath.

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