Oh yes that's true, it's just that she doesn't really count as an Elf at that point for the purposes of trying to establish how Elves can die under normal circumstances. She would have eventually died anyway.King Aragorn said:Pretty sure she died one year after Aragorn passed away due to a broken heart. It's pretty tragic because Elrond was right, he grew old, he passed away, and she was left alone until her time came.
But yes, it is tragic. That story's in the Appendices in the books, and I remember the first time I read it, just flicking through the Appendices, reading about languages and stuff and then BOOM - completely heartbreaking story. I cried so much.