Comment... Is not access to an email account an item of property, and should it not be inheritable in the same way other property is inheritable? It's property of the estate, for starters.
Does the Federal Government continue to deliver mail to those who are deceased? Kinda depends. If you open someone's mail, you committed a Federal Offense.
If granny died, her social security check isn't part of the estate - it has to be sent back.
I guess this could fall under the RIAA guidelines of proprietary content that belongs to the owners (senders) of said email that went unread.
Let them decide if they want to share it with the family.