Seems to be a correlation does not equal causation issue to me.
People who draw social security at age 62 are likely doing so out of necessity rather than choice. Someone who is financially in need of SS at 62 is likely someone who doesn't have much in terms of savings, in other words someone who likely doesn't care to plan for the future. People like that typically don't care much about themselves or their health, and to me that is a much more likely candidate than the age they choose to retire. Retiring lowers stress levels which is pretty much the #1 cause of early death to begin with.