The article in NYT nevertheless states:
"A 2014 study found that 6 percent of patients who screened positive obtained an abortion without getting another test to confirm the result."
Maybe people aren't informed enough. It is my experience that some doctors tend to cut conversations short and some people are shy/insecure enough not to pry answers out of them.
In this case, that would be a tragedy, given that statistically 5 of those 6 aborted fetuses were healthy.
Edit: I found the following comment in the comment section of this article, which appears to address the same issue:
I am a physician with a PhD in Biomedical Informatics. Most patients who receive these tests do not see a maternal fetal medicine doctor or genetic counselor, and no one actually explains that the tests they are receiving are “screening” or “diagnostic.” Your opinion that this article does a disservice to patients reflects your unrealistic assumption that most of the doctors ordering these tests are actually communicating effectively with patients (or frankly, even understand the tests themselves). In my experience, they usually aren’t/don’t. Articles like this “fill the gap” on patient education when doctors are unable to explain math and risk (i.e., most of the time).