Contemporary norms no longer demand men to be strong or show their strength. They have been indoctrinated into believing that, but for their forebears' brutish sexism, women are the same as them and can do everything they do.TL;DR: contemporary norms aren't sexy.
They are taught to take their share of childcare, to demonstrate their feminine side and to be socially acceptable to women.
No wonder they've taken up showing their emotions. Dig into the survey and you'll see that's what a lot of the crying is about - not genuine distress, though I wouldn't blame them for that.
David Schwimmer set off this tiresome trend when he played Ross on the sitcom Friends. His was the first straight male character to behave in a stereotypically female way. We should have seen the warning lights. Ross was hopeless in love. His femininity annoyed, not attracted, potential girlfriends.
And for all their protestations, nor is it what young women find attractive in young men today.
A crying man may prove a friend, but never a lover or protector. The men my sex, young and old, still find attractive are those we feel we can rely on who are strong - and, yes, manly. Call me old-fashioned, but there are few women who find a male cry-baby sexually attractive.
This is example #45,832 in why listening to women about what they want is a fool's game. Keep in mind that this female revulsion for what they tell men is attractive applies to being nice as well as it does to showing your emotions, exposing your vulnerabilities, being open about your self-doubts, and sharing your feelings.