Narcissists can be divided many different ways–covert vs. overt; somatic vs. cerebral; malignant vs. “benign,” etc. They can be divided another way too. Narcissists are either extremely emotional…or cold as machines. Underneath their mask, they’re all hypersensitive though, even if they hide behind a stone cold exterior. Malignant narcs are the HSPs who went bad. Somatic narcissists are probably more likely to be hyper-emotional, similar to people with HPD; and cerebrals more often the “cold, calculating” type, though not always.
I’d venture to guess emotional, dramatic narcs have HPD or BPD traits (borderlines can’t regulate their emotions) while the colder types have ASPD or Schizoid traits. Avoidant PD traits could go either way.
I wonder if any studies have been done to determine which MBTI types narcissists are most likely to be. I’d guess the emotional ones are probably INFJ and the second type INTJ. I don’t think most narcissists are that extroverted, even if their mask includes extroversion and sociability. Narcs really don’t like people and are too self-involved to be anything other than introverted, in spite of any outgoing front.
This means there isn’t a whole lot of difference between an emotional narcissist and an unemotional one, except for the thinking vs. feeling aspect. But even when they don’t show it, all narcissists are emotional and easily hurt when it comes to themselves. None of them feel much for others.