[Clipper]

And in that regard, it is different to a Curse. Hoard! and Divine Intervention are cards that must be played as soon as you get them, however you get them. Curses only activate immediately if you draw them while Kicking Open the Door.

And seeing as you mentioned the Treasure draws, you draw those Treasures for Hoard! before doing any of the Treasure distribution (so there will be two more Treasure cards than you originally thought).