Only partly true there I’m afraid. Pennsylvania allows for children to be responsible for medical and long term care bills from their parents under a filial support law:
Maybe I’m misunderstanding, but I read that as if a person in poverty is receiving public assistance, parents or children may be responsible for some of that cost.
It’s similar to child support. In many states, if a child is in poverty and receiving services, the state claims the right to collect from parents, regardless of circumstances or prior judgements. It doesn’t seem entirely fair but there is a similar connection here, and it is explicitly for care while alive that you owe while they are alive. It does not cover debt incurred nor is it inheriting: you owed it all along