I agree completely that people who suffer from burnout because they have too much empathy for others -paramedics, teachers, nurses, social workers, etc. - should be understood, and helped, and taught coping strategies. 

But psychopaths, by definition, do not form deep emotional attachments to other human beings and consistently display little or no sympathy or empathy towards anyone.  (Psychopaths are not burned out from an excess of empathy. -They never had any empathy to begin with.)