That’s the opposite of an incorrect stereotype. The idea that autistic people don’t have empathy is false. I’m autistic. Of all the other autistic people I know (about a dozen) all are highly empathetic. To neurotypical people we often don’t appear empathetic but that’s very different.

This disorder actually sounds somewhat adjacent to autism. Many autistic people have intense affective empathy and get overwhelmed by other’s emotions, especially in groups. But often we just shut down, which appears like nothing is registering and we have no empathy.