It's by the definition of psychopath as someone who lacks empathy that my argument follows. It is not a normal human condition to feel empathy for large/abstract groups of people. Most people I know do not feel deeply and profoundly sad for millions who died during a war or a famine, while most of them do experience intense sadness when a person close to them or one they identify with dies. Any empathy expressed for large groups of people is typically of an intellectual kind, a political/machiavellian tactic undertaken only when observed by others, something quite close to what a psychopath would do.