I think some of it comes down to the fact that quite a few guys aren't set off by things that tend to set women off. It's like the meme of "I can't believe he didn't cry at Titanic" and then the bottom is the dude with the shadows over his face looking at the ending for Of mice and men. I think a lot of guys need either the right build up or just the right trigger to actually cry due to emotional reasons.
Though I do think it's at least partially due to toxic masculinity, but at least for myself I tend to just feel hollow at rather than wanting to cry. The type of emotion that makes you want to take a hot bath and lay in front of a fan for a couple hours. Though I do openly ball my eyes out when my pets die.