You are treating this like a software problem, but it isn't, it's a medical problem, and medical problems tend to be complex because they have a ton of confounding variables that make it hard to have a one-size-fits-all method for dealing with medical issues.
What needs to change is that people need to realize that they have a field of expertise and that the medical domain has its own experts who typically dedicate a lifetime to their profession, their general consensus is that improved tests are welcome but in and of themselves are not enough to guarantee improved patient outcomes. Yes, this is unfortunate, but it is also a simple reality, you can either accept that or not, that's up to you but if you want to make a change there than you probably should join the medical profession. Most likely by the time that you have completed the requirements you will have shifted your viewpoint away from the software domain's mindset that all bugs can be found and squashed by the next sprint. Which by the way judging by the general quality of software out there is also something that doesn't work out in practice as we believe it should in theory.