The psychiatrists that my office works with charge $300/hr for anything related to court cases. Their payments are due as soon as the services are rendered. That usually means they get payed most of what they're owed.
One of them that we deal with fairly frequently has his normal appointments booked through January. So imagine about 5 hrs per day at $300/hr. If you think that's decent $, then yeah, I guess some psychiatrists do alright