I don't understand this. If you want to compare mental health issue rate, why not compare mental health directly? Instead of a related factor?
It's 26%women/19%men some mental health issue and 7%women/4%men serious mental health issue
https://www.nimh.nih.gov/health/statistics/mental-illness
How do you measure mental health directly? Everything has a sampling bias
How do you measure mental health directly? Everything has a sampling bias