I really like all the research Francesca Happe is doing at King's College on ASD, including researching the difference of psychopaths regarding empathy. In her video https://youtu.be/Sh1IsnwVQis she uses the term "Mind Blindness" instead of issues with Empathy.
Some of it is echoed in this book:
"Psychopaths are the opposite of autistic: they are good at telling what you are thinking and may use that to manipulate you, but don’t give a damn about your feelings. In autism, feeling empathy must also be distinguished from expressing empathy – the latter may prove challenging for some autistic people, especially if expected to act in narrowly defined, normative ways to show they care."
Link: https://dart.ed.ac.uk/autism-book/
Additional research:
"However, many different cognitive and affective processes may lead to unempathic behavior and the social processing profiles of individuals with high psychopathic vs. ASD traits are likely different. Whilst psychopathy appears characterized by problems with resonating with others’ emotions,"
There are publications everywhere. https://pubmed.ncbi.nlm.nih.gov/17018169/