Kind of hard to categorize his family since his mom had to work several jobs to make ends meet. She was not wealthy. His father had more money but they were separated and he was a tyrant.
Elon Musk totally looks like a guy with Asperger to me. You can be on the spectrum and not everyone is exactly the same. And it manifest itself quite different in men and women.
With Asperger you tend to be poor at reading social cues. This fits Elon Musk very well and you tend to obsess about stuff. Have a singular mind often about technical stuff. Again very much what Musk is.