You are quite right and I could have been more clear. In this case they specifically looked at the total healthcare costs and still concluded it was cheaper. Unfortunately I don't have a link and feel a strong [citation needed] flag is warranted.

Furthermore, healthcare costs don't reflect the complete picture. Firstly, lost productivity is an issue. Secondly, we may not want a society where ritual suicide is encouraged at a pre-determined age with the goal of reducing healthcare costs.