No it has to do with establishing parternal certainty/responsibility and genetics for possible medical conditions for that child
It would also cut down on court cost
I'm not disagreeing with you, I'm simply saying it doesn't exist. There are no interventions in the birthing process that establish paternity for both parents so elaborating on the benefits of that help is irrelevant to how a woman reacts in this scenario.
I personally have a problem with the need to have a scapegoat, which is always a third party intervening to do what some people don't have the intellectual capacity or self control to do for themselves when it comes to sex, but could it help? Of course, but that's another convo.
This is some situationship type mess where folks are just fkn with no loyalties to one another, and a DNA test makes perfect since in that scenario but not with a woman your in a relationship with unless cheating or some type of plausible foul play was suspected beforehand.
If men want to get a kid tested it makes more sense overall to do it privately, that way you don't offend the woman if the kid turns out to be yours (and you won't look like an irrational paranoid fool), but if the kid is not yours confront the woman and bounce (
because yall will surely leave her if its not your kid but y'all wanna act offended if she leaves you for calling her a hoe and acting on your crazy if the kid turns out to be yours).