I'm not sure.

I weight myself everyday. Some people tell me not to do that but its honestly pretty good at keeping me in check and because I weigh myself everyday I know that sometimes I just get super bloated and put on four pounds of water and it will be gone in a couple days. When you get more data you learn to adjust how you interpret it and make better decisions.

Likewise, if getting a false result 50% of the time becomes common (this assumes we never improve the tests) then people will know to adjust their priors. After all - I've had to go to specialists a few times for extra tests. I wouldn't say we ban those.