My brother had schizophrenia, although my family feels that aspergers actually described him better if both could have been diagnosed. If one could make the diagnosis of "aspergers with psychotic features" that would be him. He had an evaluation by a psychologist, with treatment recommendations that really made sense, but unfortunately nobody bothered with following treatment recommendations, and my brother committed suicide a couple of years after that. I can't speak for all psychotic patients, but my brother could have benefitted from therapy and needed it, not so much to cure his psychotic symptoms as to help him overcome the family dynamics that taught him that he couldn't do anything for himself and shouldn't bother trying - the same thing that the rest of us got, only he got even more of it. We need more research showing that these patients benefit from therapy, so that it will be more available to him. Having a therapeutic relationship with someone outside the family who could have given him hope and noticed when he was going downhill probably would have saved my brother's life. He said that he wasn't okay, but couldn't get treatment when he needed it because he wasn't able to clearly explain how he was a danger to himself or anyone else. All the hospitals mom took him to turned him away. But he was, and didn't get help.
Some of the settings that might have been able to offer help would include research, and jails, as well as specific treatment programs.