Aeon's End
Can Disintegrating Scythe's discard option send it to my own discard pile, and does the first sentence end the game at 0 life?
Yes to your own pile, since 'any player' includes you. Card text resolves in order and the win condition is simply the nemesis reaching 0 life, so players generally agree the first sentence can win the game; there is no official ruling on this timing.