YOU are "Not Possible"
Because YOU are making sweeping assumptions of what was or was not possible for the researchers to discover through the records they had in hand.
They had the court records to tell them how long the eunuchs lived, so I think we can credit that they had records for other courtiers as well. They used those records to find out their data, and with a sample size of 81, and a LARGE difference in lifespan, I'd say the evidence was pretty "cut" and dried.