The thing is that death is a universal experience; Many, if not most of us, will end up needing some form of late-life care. Private insurance companies often won't cover what is ultimately inevitable. It would make sense for more of our public policy to aid in what is so common.
The average nursing home cost is $7k/mo. The average nursing home stay is 1-2 years. That's enough money to bankrupt most US families entirely yet comparatively little in the public budget. We spend _much_ more public money on incarceration every year.