You'd be surprised, just today we had to have a conversation with a family member about how consistently taking in loser degenerate men is ruining her life.
The men that are ruining her life are not the sort of "weak men" being discussed here. The ones ruining her life, I can just about guarantee, exude the impression that they don't play by other people's rules. To women, that is strength.
There are plenty of women with strong mother instincts, that happily take on a “weak man”.
But of course you would not want to be with someone not giving any sort of “benefit”. A relationship goes two ways, so without any other good qualities I’m not sure what they want.
In my mom's case, at least, the "benefit" is being able to feel superior and having someone to fight with 24/7 (she absolutely loves conflict - arguing and starting fights is her favorite activity in the world).