Well, of course. Many men don't want to take care of children by another man. Many women do not want to marry a man who has children with other women. Men however, can overcome that barrier by providing for their children to the point of having more money to spare to take care of the wife and other kids. Women generally just cannot do that because they can't work the same type of time consuming jobs that earn them that type of money and be a full time parent.
Women with greater economic resources could afford to be more picky in their selection, but that isn't the case.
I don't think this is really an issue of men hating women who have children it just isn't the practical desirable partnership and they don't have much economic incentive to offer themselves.
Why would I want to take over someone else's debt and obligations?