I'd cut ties with such a person.

Seriously, I think men who cry because of conflict with their partner are stooping as low as they can to manipulate the situation. It is a "last resort" tactic to get her to stay/not be mad/forgive you/be quiet, etc. I don't use it and don't go for it.

And, I don't see a woman being able to look me in the eye if I started sobbing because we were arguing, heck, even if we were arguing over her "stepping out".

If a man cries and his momma ain't dead, he's up to no good if you ask me. But to each their own.