I would agree with that assessment but for the fact that while alive the parent's medical debt can't be forced upon family members. It's a weird debt and I agree it isn't quite the same as inheriting it but I also think it isn't the same a jointly assumed liability while the parent is alive. The family members presumably have no say in whether or not the parent assumes the medical debt.
You can never involuntarily inherit debt in the US. You have to be a co-signer to begin with.