Yes it is.
All people cost the government money just living. When you retire and stop generating taxes, you cost more than you produce for every moment you alive. From an entirely economic standpoint, the best you could do was work until 65 and then drop dead the moment you retire.
Also, have you ever met someone who is 90? They aren't in great condition. They're in and out of the hospital constantly. Look at Nelson Mandela. He's 94, thin, and in great shape. He's also been in and out of the hospital for several major stays. Is that free? cheap? If he got fat and died of a heart attack at 70, would that have been more or less expensive?
You act like that 70 year old never saw a doctor a day in his life.