It is NOT supported, at least not by the citizens of the United States.
It is supported by the corporations, lobbyists, and outright purchased politicians of the United States.
The simple answer to most of these questions about "why doesn't the United States..." is because we no longer have a functioning democracy.
See Citizens United, electoral college, gerrymandering, 2 Senators for states with populations smaller than an average city, social media engineering by foreign actors, Mitch McConnell blatantly ignoring the Constitution with no repercussions...
So you're for decreasing the amount of public spending on health care in the US?
As an example, the price of Clopidogrel (Plavix), developped in France is sold 5x more expensive in the US than in France. Do patients in the US experience better outcomes by paying more? No, it's the same drug.
"Providing more" for healthcare, means better overall health, fewer avoidable deaths and longer life expectancy.
So anything sold oversees is pure profit (minus marketing / lobbying).