There's a stronger case for world hunger being bottlenecked than healthcare. World hunger is a logistics problem now, but no amount of money lets you print doctors.
You can't just throw money at the world hunger problem, it will end up in some warlord's coffers. Hunger still exists because it is politically useful to keep people hungry.
With a little bit of lag time (school) we could have a metric fuckton of doctors. We have a metric fuckton of shitty lawyers. Doctors are artificially gated in the US
What’s the joke? “What do you call the person who graduated last in their class from med school? A doctor.”
The optimal amount of bad doctors is not zero. But there is a point of "ChatGPT does a better job than this man does, and we're talking GPT-4o, not GPT-5 Pro". In which case we have a problem.
I don't know what wealth distribution means in this context, or why it's relevant at all, but food grows fast and doctors take like 20 years to grow no matter how much money you throw at it or where you get the money. And the context above was more specifically "fully pay health care costs" which is a comical fantasy the moment you try to actually define what that means, because the limit is not the price.
Changing the entire paradigm of medical care would be possible with enough money. There's no logical reason it takes 20 years to become a doctor. The fact that it does severely hampers both the quantity and quality of doctors. Becoming a doctor is much less about knowledge and intelligence than it is about attrition resistance. Loads of capable students disregard medical careers each year for more rapidly attainable positions. In many cases these are the MOST capable students because they recognize the problems with pursuing medical degrees.
Certainly the most skilled and advanced in the medical field will need significant schooling but there needs to be a major reform in healthcare training. One that produces more knowledgeable and skilled professionals and not a glut of questionably competent nurse practitioners.
