Yep. Samuelson (not THAT one, but the WaPo columnist) wrote up that exact article some years ago. Pick two of the three. You can’t have all three.
I’d add a fourth, though, in this case, and that is choice of provider. The fact that Cuban medical system is functional, despite a horrible lack of modern facilities and equipment, is directly attributable to the fact that they assign doctors to neighborhoods, and since people don’t move around much, that doctor becomes intimately familiar with each person’s medical history, lifestyle, etc., and they can become very targeted in their recommendations and treatments, however limited those treatments may be.
In short: Being able to see the same doctor over years markedly improves outcomes. Contrast that with the NHS, where I’m told you never see the same doctor twice.