What I am saying is that things need to change, not that this is a trivially fixable problem. Exactly how you would change things is not obvious to me, but I would say that not doing tests because of the information hazard issue is a symptom that something is wrong.
Perhaps the more general version of this problem is "don't set up systems that give billions of people nonconstructive negative feedback". It's applicable beyond medicine, I would point at unrealistic celebrity beauty ideals as another manifestation.