If a UBI is in place, then the state has taken over what a parent should have been left with to do.
That bit of (welfare state) thinking may be why we now have about 50% of all household with single parent children, --- being able to say that they are not supported by the deadbeat dads that created those children.
Not sure what statistics you are using but you are kind of agreeing with the OP. Most of the cases of child support issues I've seen are ones where the guy has his act together and the woman uses a kid like a cheap trading token to extract money.
It would be interesting to have a world where child support payments were actually that vs women enrichment payments. It never made sense to me why a woman who has never had a proper job is entitled to millions simply because she slept with a man who is wealthy. That is basically state sponsored legalized prostitution... except it is more expensive.