Well, the truth is really somewhere in the middle. The article says that the battery management system of the Roadster won't allow the car to discharge the battery fully. But batteries lose charge over time and if they are not charged, there is nothing that any battery management system can do about it.

So I guess while the original article was overly sensationalistic, this one is overly optimistic — if you park your car with batteries very low at the airport and leave for vacation, you might kill some cells.