I don't know about empathy. At least I don't know yet. Sometimes subtle changes in wording matter. Like women might be more cooperative, or they might be better listeners, but not necessarily more empathetic.
I know men are overrepresented when it comes to psychopathy and sociopathy, and many other mental illnesses, as I'll explore in a later post, whereas women tend to be more similar to one another (in other words, more males sit on the extremes of the bell curve), so maybe overall there are more empathetic women compared to men.