I dunno. I'm reading through them. I don't see any examples of weakness. On the contrary, every example is a guy crying for a really good damn reason.

Even just the category itself kind of makes the point. The original claim way upthread was that women find guys who cry repulsive. I would assume this is roughly referring to guys crying when they run into a problem in life instead of dealing with it, that sort of thing. The examples in your link are, like, guys who gave their whole lives to a sport, everything's on the line, maximum skin in the game, and their crying is a show of strength, the raw emotion of someone at a peak/climactic moment.