This is unfortunately almost certainly bunk. There is a large selection and survivorship bias. To be an 85+ yo and be alive with an organ transplant you have to

This is unfortunately almost certainly bunk. There is a large selection and survivorship bias. To be an 85+ yo and be alive with an organ transplant you have to be pretty special. That generally means you have kept your transplant for at least 30 years and survived the early days of suboptimal immunosuppressants and perioperative care. Also transplant recipients are managed very carefully by their physicians, who constantly tweak their medication, blood pressure, blood sugar etc. Also people who manage to live with their transplants for long periods are presumably highly selected for diligence, education, wealth, compliance, mental health etc.