"Life, liberty and the pursuit of happiness..." Certainly life can be equated with health in some regard. Is it a right to have equal protection under the law? Of course it is, not different for you or me or anyone else.
When our government "mandates" that no healthcare facility can turn away anyone regardless of their ability to pay, it in effect mandates healthcare for all. However, it is not treated equally under the law so if you or I where to go to a hospital and not pay you can be sure the hospital would go after us in court for their protection under the law. But the working poor, unable to afford healthcare and because they have few assets, can skate. Certainly not equal.
Therefore, the government itself has created an inequality in how citizens are protected under the law with regards to healthcare. And the provider has little recourse in many cases as it is throwing resources down a rat hole to try to get restitution on indigent care. So we all pay more because the government has created an inequity.
The States battle with "disproportionate share" payments to hospitals annually; nobody feels that they get what is right, I've been in some of these State Association meetings and it is ugly.
https://www.medicaid.gov/medicaid/financing-and-reimbursement/dsh/
So the best solution would be for healthcare to be treated as a right of all citizens, not just those with health insurance or those at the lower end who actually get covered by the rest of us. Create a system whereby anyone over a certain income level has access to some sponsored plan, maybe an RFP type situation where the private sector can bid on the business, and those below are covered by Medicaid like they are now.
Something like this is at least equal and removes some of the burden from the rest of us and from hospitals carrying the uninsured.