It's the difference between weeping "at a distance" versus weeping out of emotion. All the situations you mention involve a man weeping at some tragic part of t

It's the difference between weeping "at a distance" versus weeping out of emotion. All the situations you mention involve a man weeping at some tragic part of the world, which I agree is broadly accepted. Same applies to, e.g., crying at a sad movie. However, it ignores the reality that the most important kind of weeping isn't where you weep because you're recognizing something is socially coded as sad, but where you weep because you're feeling sad. Maybe you lost a job; maybe you feel like a failure; maybe you got your heart broken. And for all of these there's a substantial stigma, in that to be a Real Man(tm) you are forced to embrace your agency and act instead of feel. A single controlled, manly tear is celebrated; messy weeping is deeply stigmatized, and many women would consider a man who does so weak and unsuitable for a relationship.