Seems like you're thinking of "extra care" as some sort of life extension, while the GP thinks it means things like help showering and cooking, and the GGP is ambiguous and could believe anything.

The inevitability of death is a philosophical question. I read the GP and maybe the GGP as talking about the more practical question of whether it's moral to let broke old people die from bedsores and starvation or whether we pay for nurses.