I live in a house with parts built in it from 1100. The down stairs used to be a stopping off point for knights on their way to the crusades. If people haven't died in this place i would be really surprised.
I'm curious on the stats. I don't doubt the likelyhood of home v. Hospital but just the mentality being a modern shift of the hospital is where you go when you're sick. Especially rurally it was less common (doctors did more home visits).
The hospital will discharge you, they avoid keeping beds warm for those that will soon be dead. So unless they think your going to be back very soon, they will send you with a discharge plan to go die at home when at all possible.