It's just a factual inevitability if you have a healthcare system outside the market. Limited resources have to be distributed one way or another. If the state controls healthcare outside of the market, then the only way to do this is using some system of distribution determined by the state. For dying persons who need limited resources, the only way the state can distribute them is either a lottery or death-panels. There are no other options.

Of course, if health care is market based, then simply the rich live and the poor die in such scenarios.