@mloxton it's basically a bait and switch because they don't consider any of those characteristics to be male characteristics so they can dispense with the concept of it kind of like you're saying. This is how they justify the lack of a male figure in a child's life as being not that big of a deal, because those characteristics "can be provided by anyone". Statistically this has a negative correlation with reality. Of course there are confounding factors.

For what it's worth, I think it's true a mom staying with a dad who is abusive "for the child", is probably a worse scenario than being on their own, but a spade's a spade, a (good) father figure in a child's life probably doesn't have a substitute.