IMO narcissists are likely born that way wired differently (a problem with the Amygdala?)
So I agree with Fallon.
My mother was NPD born that way. In her case she had not been abused as a child.
I have read loads, but in my experience PDs tend to be inherited.
Fallon is a psychopath all psychopaths are narcissists.
Antisocials I believe are likely made damaged by neglect and abuse lashing out at society.
You say your father did love, mostly himself.
Narcissists do love themselves, they usually also feel plenty of emotion buckets of that, loving attention and drama. But they do not feel empathy. It's all about them.
There are many variables so no absolutes.

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