...hat they've done. You said it yourself, Dumbledore WOULD have felt that remorse and guilt over the terrible truth, that he was the cause for Arianna's death. Therefor his soul would still be intact. And even if the Elder Wand WAS the Horcrux, it wasn't destroyed until a year after Dumbledore's death, so he wouldn't have died in the first place. But other than those two facts, great theory.