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I think the ability to have sex is at least as important as the ability to not piss yourself (e.g. incontinence medication) if not more, but still, its profit center comes from its recreational use. That's why the drug companies love it.
Etc.
Case in point: I'm an American who lives in Vienna, Austria, and I have recurring upper-respiratory/immune system problems.
Here, I am treated with a so-cheap-it's-almost-free immune system booster called Broncho Vaxom. It's nothing but dead bacteria, but it's extremely effective (essentially an oral vaccine).
It's used to save lives of children in the poorest of nations -- but it's not available in the US, because it's not profitable, whereas continuous rounds of antibiotics are.
So first responders in Florida have a problem. No coral snake antivenom.
A similar market situation applies to flu shots.
The current system favors "maintenance pharmaceuticals", not cures. Who wouldn't prefer to have a cash cow that costs the customer a few hundred dollars every month for the rest of their life, in comparison with something that actually cured them? A cure isn't very lucrative at all.
Generally, free marketeers protest that this isn't true, in the face of all evidence I can see, but look at the business logic; it's inescapable.
A free marketeer, as you say, would say that the reason nobody is making more antivenin is because the "process for applying" is so expensive - but of course, there has to be quality control, and more importantly, there's every reason to believe that the manufacture would be more expensive than the applying.
Govt regulation is used as a scapegoat. The market for creating this product is just not desirable, because snake bites are extremely rare compared to just about every other medical malady. There was a reason the original manufacturer willingly gave it up in the face of no competition.
Public health is a public concern, and should be funded with public money. It is cheaper in the long run because of increasing working years/tax dollars, and reducing bankruptcies, and reducing the number of orphans, etc.
Even Mr Invisible Hand, Enlightened Self-Interest himself wrote that the whole edifice of his economic philosophy had to rest on the foundation of respect for human life -- and compassion: http://en.wikipedia.org/wiki/The_Theory_of_Moral_Sentiments
Health is no different. It suffers over the long term when people think the use of force to get some short term benefit.
Somehow we live our lives with the understanding that forcing those around to do what we want would destructive, even if it was somehow benevolent. But collectively, we've convinced ourselves that this cannot be the case.
Perhaps it is because the dominant opinion is actually propagated with our own money even if we don't agree and alternative perspectives buried by the mesh of financing and media access of government.