I don’t have data to link to but I’m almost certain that if men and women are 50/50 then crime, or police interactions, are more like 80/20. Add onto that math that males have a higher level of aggression and physical ability to pose a threat and I feel the majority of your delta is explained.
Just knowing the percentage of men owning guns is way higher than women owning guns would change your perceived threat level based on sex.
I'm asking in good faith, because I think you have insightful comments and I'm curious, even if I disagree with you on a few things.