Bloodchief Ascension's second ability doesn't behave like a leaves-the-battlefield triggered ability, since the card put into an opponent's graveyard may come from anywhere. If a Bloodchief Ascension with three quest counters on it and a permanent an opponent owns are destroyed at the same time, for example, the game will not "look back in time" at the game state, and Bloodchief Ascension's second ability won't trigger.