The bigger issue I see is not living alone, but living without a social net -- I personally really enjoy living alone, but I also have regular social gatherings in my life.
Anecdotal, but my grandfather insisted on living alone - he drove, went to the bar and hung out with his friends every single day, and someone in our family would either visit him or talk to him on the phone a few times a week - in other words, a social net.
He insisted on his independence and liked his space, so we didn't harass him every single day even though he only lived 15 minutes away.
One evening, he fell down and couldn't get to the phone. He was on the floor for probably just 36 hours before we found out and called the ambulance. He died a few days later in the hospital, having never fully emerged from his diabetic coma.
We thought that checking in with him every other day was enough, but it was not.
Be careful.
I don't think that correlation works like you think it works.