Some of those "generalities" are self-enforcing.
For example, if blacks (poor because of jim crow and red-lining) are thought of as criminals then they are more likely to be arrested and convicted of crimes, which leaves their families destitute (poor = at risk for crime) and fatherless (fatherless = even more at risk for violent behavior) which almost guarantees most of their children will be incarcerated at some point in their lifetime.
Now, in my example you might argue that INDIVIDUALS can RISE ABOVE the unfairness of their birthright.
But you've just tried to argue that GENERALITIES are true when it comes to GENDER EQUALITY.
What is your UNIFORM STANDARD OF EVIDENCE (USOE)?