"Inheriting debt" as far as I am aware has never been legally validated.
At least in America, the courts are silent about it.
Like, your paychecks can't be garnished in the name of inherited debt, but the courts also wont stop debt collectors from going after a person for inherited debt.
If the surviving family buckles under the harassment and pays, they buckle and pay. If they hold strong and wait for the collectors to move on, they don't pay.