I'm pretty sure elder care isn't indefinite. Maybe we end it after this current generation of old people (our parents/grandparents) are no longer around.
One of the biggest social problems we'll face in the next 10 years is millions of people with dementia who can't take care of themselves just... existing. What do we do?
One fun story I've heard is a doctor gave an old woman with full blown dementia an operation to keep her alive, then she lived another 15 years just completely out of touch with the world. The family had to sell all her belongings (eating through their inheritance too), then pay even more to keep her in full time care. It makes no sense, but that's the standard set of rules. Little known fact: before medicare will pay out for extend services, they force your relatives to sell all your belongings (property, land, investments, etc) to pay for medical services before any other payments kick in.