@33mhz I've posted multiple counterexamples below to your hypothesis. It's a reasonable question to posit however it is not borne out by evidence. There are many things in the world that are true that are counter-intuitive.
Healthcare provision requires distribution and logistics and not just funding amount, however the biggest factor by far in distribution and logistics is socioeconomic and is about provision of public services. There are tonnes of public health literature and evidence about this.
I guess if I get strident about these arguments it's because not only is the evidence so compelling and convincing (and easily found online in the scientific literature), but it affects my patients when they try and restrict public funding, and it affects people I know personally.
Only today one of the doctors at my work, US trained, was talking about how it was affecting their close family member who is in the US. Their family is middle class, certainly not poor, and educated enough to navigate the system, and yet the impact of subspecialist treatment of chronic disease is disgustingly high (just think about how outpatient but lifesaving treatment that can cost sometimes >$20k/dose, with capricious insurance policies and restrictions on healthcare providers). My colleague says things like that severely impact on what treatment can be provided and so they would never return to th US. That would never happen here. And yet we're not all out of pocket a ridiculous amount, and our overall outcomes are good. I'm so glad I live here and not there.