Given that you acknowledge you have depression, surely you know that depression gives you fatigue, makes you think everything is too much trouble, and makes you feel that suicide is the best solution. It can also make you feel helpless, like nothing will work, and that you're in a downward spiral. And this includes thinking that at age 72, you're one step away from a nursing home (when the reality is you could easily be closer to 2 decades from one, particularly if you can stay mobile). Right now, your depression is dressed up as concern for the next generation.
The next generation will be fine with you living.
I urge you to seek therapy from a competent mental health professional if you aren't already. And if you are seeing a therapist, then show them what you wrote here as I suspect you haven't told them.
And if you tried therapy and didn't like it, try it again with another therapist.
Mental health/depression is maddeningly inconsistent. One day a treatment works. The next, it doesn't. Or more likely it works for a decade and everything is essentially hunky-dory and then it stops working. Or your therapist retires or moves away and you get a new one you don't like as much.
None of those things mean that medical intervention doesn't work -- it does! It's more that it requires some patience and perseverance.
Like I said above, the next generation doesn't want you to kill yourself just so they can get an extra fraction of a penny in benefits.