I guess, whether it is being a boy or a girl, the fear is that ONE WOULD NEVER STOP CRYING once you start and that idea makes you not cry at all, which is just as bad.
I have had (and I am female) times I can remember, where I was drawn into this sea of emotion, full of sadness, but it is pretty illogical, because at some point I did make my way out of this intense sadness.
I think it is the intensity we fear, when we avoid to cry.
With boys and crying, I can say that my son cries and so does my husband, although he can only manage that when he had a few to drink.
There is this episode in the friends sitcom, when Ross is confronted with his male babysitter. Rachel can very easily deal with a man looking after her baby daughter, but Ross is highly competitive and later admits to the male babysitter that his father did not show him enough love.
We expect men to be tough and if you are not tough all the time, then critizism is an easy solution. Not to forget the soldiers fighting in warzones. Imagine they would cry everytime they had to attack or kill their enemy? It wouldn't work. This is why there are so many soldiers, who now openly say that war is hell and when they come back from serving as a soldier are pretty traumatised by it.
But I think emotions are generally feared, whether you are a man or a woman.