All you've said is that some tests aren't being passed. Can you correlate them with improved medical care? Again, in my alternate world, I can construct a CS test that 90% of those w/ undergrad CS degrees would fail. That's not hard to do. The question is "does my ability to pass such a test correlate with my ability to do a website?"
You're pointing to scarcity and arguing that this is proof that we require scarcity. I'm saying that if you dropped the bar on these tests, but increased other policing practices that yielded a net increase in the number of doctors, I think you'd see an increase in medical care. My thesis is purely speculative, I grant you that.
I suspect we're likely to find out if this does work out in non-US countries once as medical information and training becomes more prevalent on the web.