A primary psychopath displays callousness, no guilt or remorse, unemotional, manipulative, and experience almost no anxiety or fear. This type of psychopath is also linked to antisocial personality disorder and narcissistic personality disorder.
A secondary psychopath is destructively emotional. They are hostile, anxious, aggressive, and hostile. They can also be extremely self-destructive.
The difference I see is that a primary psychopath feels almost no true emotions while a secondary psychopath let their decisions be made by their emotions at that time. Both can be destructive and they cannot see life from someone else’s point of view.