That's not correct. Some psychopaths and serial killers are able to have empathy, but only for one or two people who show them genuine love that were often devoid of in their adolescence. Most notably Richard Kuklinski. The Governor fits a psychopath to a tee. Often people Google things about psychopaths and assume that all of the common traits have to pertain to someone for it to be true, when that's not the case. You could say he was a sociopath, but sociopaths usually don't kill a lot of people and cut off their heads.