Article here. First thing they think of is to use it to get the father of the fetus to start paying for the mother's decision to have the baby. I know this is a tough issue for many of us. Point is, as long as a man has no post-conceptive reproductive rights, why should he be legally on the hook for a decision which is not his but entirely hers, yet even before the infant is born? Excerpt:

'It is an uncomfortable question that, in today’s world, is often asked by expectant mothers who had more than one male partner at the time they became pregnant. Who is the father?
...
Besides relieving anxiety, the test results might allow women to terminate a pregnancy if the preferred man is not the father — or to continue it if he is.

Men who clearly know they are the father might be more willing to support the woman financially and emotionally during the pregnancy, which some studies suggest might lead to healthier babies.

And if the tests gain legal acceptance, some lawyers say, women and state governments might one day pursue child support payments without having to wait until the birth. Under current law, “until and unless the pregnancy produces a child, any costs associated with it are regarded as the woman’s personal problem,” said Shari Motro, a law professor at the University of Richmond.'