Awesome. I still stand by everything I said.
> (2) your statements assume, without possibility of falsification, that such mental illness is not at all due to environmental factors
No, they quite obviously don't. I'm pointing out the difficulty of knowing what contributed to a child's death in the context of mental illness, which can be both genetic and environmental in origin, and is not always in a parent's ability to influence. You can have two perfectly nice parents raise a literal psychopath and no one knows why. Happens all the time.
The idea that you can ignore this and zero in on the parents based on the info in this article is completely contrary to our scientific understanding of child (and adult) psychology.
The abuse, on the other hand, is obviously an important contributor, as you said. No dispute there.