Disappointed to see you perpetuating this bs. What those studies show is that children benefit from having an invested male presence in their lives.
Now that may be the father, sure. But ultimately no dad is better than a bad dad. Studies show that too. So if dad is a dud, mom is better off getting granddad, uncles, cousins, mentors, etc in that kids life rather than keep a dad who's the sorry sort that frankly needs to get gone.