What if you say the name of the entity 2000 years later, so they are remembered again? Would they have a 2nd revival? What is the second death timeout?
I think the gist of the "last time the name is spoken" idea refers to people who knew the deceased, their personal history, character, etc., so their existence ceases not just with the biological death, but also with the social, when the last person who remembers them dies.
If one discovers the name some millennia later, the character and its quirks are at best reconstructed rather than remembered, so you have the equivalent of a Frankenstein simulation of the original.
After researchers lose interest in them, that's the third death. At that point, the entity waits in inexistence without hope for some future PhD candidate with a good idea/proposal. The citation count is probably what's left until then, until Google shuts Scholar down.