No- the nursing home won't be blamed, as they are not allowed to keep him in. They have a responsibility to ring Social Services and/or the police if a vulnerable person leaves and they are concerned about their welfare. Just being 89, doesn't necessarily make someone vulnerable- although the fact he needs nursing care, suggests this man is not completely well.
This may sound harsh, i don't mean it to, but at 89, quality of life is most important and from his point of view, a one-way trip may still have been worth it to him, if he felt it important.