I heard many men will say that most women will virtue signal and say it's okay to cry but when the man does cry, she would show sympathy at first but would lose attraction and respect for him the next day later.

My insight-I get emotional during some sad/powerful stories and can shed a tear or two. Every gf I've ever had that was with me during those moments reacted in a negative way, either they were creeped out or ridiculed me or something along those lines. It's fine I get that as a guy I'm not supposed to show those kinds of emotions and I'm not ashamed. I would say that it is a turnoff for -at least some women- because they may be attracted to you for being strong, stoic, calm, level-headed etc.