unless everyone has access to said best HC.
I think you are proposing an impossibility, like saying everybody is above average. There is luxury healthcare, like private rooms in the hospital, suites so your caregiver can stay with you, gourmet meals, private nurses, etc. All things that don't necessarily contribute to the quality of healthcare delivered.
Then there is something called "standard of care" meaning the patient gets everything they need for the best outcome, but maybe not everything they want when they want it. I think in this case "better" is the enemy of "good enough". Everyone needs access to "good enough" health care.