I don't disagree that the population pyramid shape is a root factor. And that shape is likely to get worse, not better as time goes on.

Given that it's not "solvable" (at least not without a nice pandemic targeting old people, who can be convinced not to protect themselves) it's worth then looking at "best", not necessarily "perfect", systems that may deal with it.

The approach of "best healthcare for those who can afford it" is one way to go. All resources ploughed into some sub-section of humanity, those who can pay the most.

Or we might go with "good healthcare for everyone", so alas limited heart transplants.

And I get it. There will be winners and losers. At an individual level you can have all the money in the world, and yet die when some poor person is ahead of you in a queue. "Surely the queue should be in order of net-wealth?".

No system is going to make every medical intervention on all patients all the time. We won't in fact live forever.

That doesn't necessarily mean that the current system is the best alternative. (unless you're a share-holder, then it clearly is.)