> One important element of social cognition is ‘cognitive empathy’, which constitutes the capacity to infer from observation the emotions, beliefs and goals of others.
I.e. their affective impairments do have significant implications on the theory-of-mind/'cognitive' side of things, but those implications are very different from the troubles of someone on the autistic spectrum. In a way, they're the very opposite!
(In fact, if you're somewhat on the spectrum and basically aware of what makes psychopaths tick, you can even have a lot of fun spotting them and interacting with them. Their attempts at superficial charm will most likely fall flat, while their lack of deep integrity and engagement will be blatantly obvious to you - but they'll probably be assuming the very opposite! So it's quite easy to figure out what they're going for and anticipate their moves.)
Cognitive is the capacity to understand others emotional state, not necessarily react accordingly (affective empathy).
I’m not surprised by this result, perspective taking and theory of mind is like the basic building block of consciousness. It would be odd if it differed.