I believe the possibility would be worth exploring, yes.Just schizophrenia and psychosis, or including disorders like PTSD and bipolar disorder?
What I would want to see studied first is how detrimental it is to a child to be raised by a parent suffering from these disorders (for the sake of the study, a single parent) versus how detrimental it is for a child to be raised by someone other than a biological parent (for the sake of the study, a non-relative, ie a foster situation).
I would want both the mentally ill and the adult children of mentally ill people involved in the study and having input into it.
Of course, it will never happen. But, you know... in a perfect world.
Yes. I'd want the option explored.