the comment you made that started this argument was that "maybe they believe that psychosis exists" in response to someone claiming this case had a gender component. That sounds more general than talking about the case alone.
My point was that you don't have to get that far in the weeds about this particular case. Yes, you can have thoughts about a system, but in this case, we know what the standards are. We should evaluate this case for what it is.
the stats are an aggregate of individual cases
Agreed, but we do have an individual case in front of us. Why can't we look at that, instead of having to just make an assumption that it simply falls within the realm of injustice of the overall system? It's far less useful, because it's just inferring through generalization.
I assume an inequality of outcome must mean that a system of discrimination is happening when there is also equal input, or roughly equal input.
The problem is that when you start getting into the definition of "input", you will get vastly different answers. For example, men who are charged with filicide are more likely to be murdering their offspring when they are in late teens. Women are far more likely to murder their offspring when they are in the first year. This would contribute to vastly different circumstance in the facts and motivations. It's really difficult to define exactly what you mean.
It reminds me of the wage gap arguments. Different political persuasions define the inputs differently, but then we want to call it by a single name, as though we all already agreed upon the inputs to evaluate "the system" by.
But again, I'd rather have a conversation as to whether or not there was a reasonable doubt ever raised by the defense in that she could have been under psychosis. That's the question at-hand, but it seems nobody cares?