Statistical disadvantages are almost always on women's side on a variety of societal issues, yet women cope and mostly aren't loud complainers on a day-to-day (when they get together to do so male culture calls them out). It's easy to blame (some) men because older sexist men call the shots pretty much everywhere (even areas where most effective practitioners tend to be women, like cooking.) In this way women get used to coping, with injustice, unfairness, offense, from early age and in the presence of other women in their family. This may help explain further the learned ability to commiserate, so to say.

I don't know, maybe men who don't express feelings like being tough dudes and won't consider suicide, maybe the ones who suicide are the ones who do have and express lots of feeling, but misplace the venting somehow, or can't control well, who knows.