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"Statistically this has a negative correlation with reality"

It doesn't
What it is measuring is "low income" and "discretionary time"

Having two parents correlates strongly to income, and income to childhood wellbeing and low criminality.
The two parents can be one man and one woman, two women, two men, or two of no gender at all, so long as their income and discretionary time gives the child a stable and healthy environment.