> From a public perspective, it might be cheaper to just let them die.
You missed the point. More tests can be detrimental to the patient's health as increase the risk of unneeded medication or surgery. Also many test like x-rays have their own risks. To do them for the sake of it increases overall mortality.
So, to not over test is not just cheaper but better for people's health.
Yeah I see that there can be a false positive/negative issue too.
For instance, allergy tests have a false positive rate of ~10% and a false negative rate of ~48%. So you really need a MD (or AI) to help tease things out there.
But I'll push back here a bit. Taking random tests will of course put you at the mercy of statistics. I think this is where AI will actually really help. The tests it'll have you take are not random any more than a MD's tests are (okay maybe a tad more?). Instead the AI's testing strategy will be more broad than an MD's will. Combine the experience and physical presence of the MD and the deep 'knowledge' of the AI and I think that centaur is a lot more potent.