Frankly, if the places that dominate at healthcare delivery efficiency also dominate at research, that could be good for the world.
The US having a dogshit healthcare delivery system but so much research means that good vertical integration is not possible.
Conversely a more integrated EU — continent scale welfare state — could do really interesting "integrated OpEx and CapEx" medical research in ways that are simply impossible in the US.
Remember the Danes making Ozempic is making something that is fundamentally far more useful for Americans than Danes (of course the money is good for Danes). Most non-American drug research today probably chases the lucrative American market, but ideally that would change.
You're making a lot of assumptions: that providers are healthcare providers, that providers want to provide more healthcare, or that providers are incentivized to pay for better healthcare.
I'm sure the system you want would exist if healthcare providers had one customer to worry about: the US government. I can't think of a single doctor, the ones that actually want to help people and not cash a phat check, that likes the current system of filling out paperwork or begging to do surgeries for patients from insurance companies.
Most actually want to just provide care.
Get rid of the middle man, get rid of the profit motive, and you'll get a system that society can actually shape.