And this is not by nature but by nurture. Men are generally less emotionally developed and skilled at handling emotions because culturally men were taught to suppress them. So yes, therefore males statistically suck at dealing with heavy emotions.

Are you sure you're not using some kind of female centric standard to measure men's handling of emotions? If men, as a group, really sucked at handling their emotions, they would be a sorry dysfunctional lot and not the builders and maintainers of civilization they are. When it comes to men committing suicide more frequently than women or developing a drinking problem, you should remember that men's life outcomes are more diverse in every way than women's.