There is a real human cost to having a child born with a rare genetic disease (and I would argue is immensely more stressful). You can easily adjust the sensitivity to the test but at the cost of detecting actual true positive cases. The correct response to receiving a positive is to do another test to ensure it’s not a false positive.

To say 84% wrong is clickbait and used to elicit a legislative response (FDA regulation), which will help the reporters career.

The actual ratio to tell if something is “wrong” is accuracy (True positive + true negative) / (true positive + true negative + false positive + false negative)

16% precision is the correct statement, saying the test is wrong 84% of the time implies that those getting negative results might actually have positive results.