If you follow the fairly common path of "various expensive, intermittent medical problems for a couple decades, a handful of years of very-bad medical problems, nursing home, then hospice care" in the US, and you don't have a shitload of money, you don't really have a savings of your own, you're just temporarily taking care of the medical and end-of-life-care industries' money. There's not going to be much to pass down.

This becomes more true by the year, as those costs keep rising faster than broader inflation.