Just to be absolutely accurate: all cards drawn as part of a Treasure draw are considered to be drawn simultaneously, even if some are being resurrected and others drawn from the deck. If you're drawing five Treasures and
Hoard! is the first card you pull up, draw the other four Treasures and THEN deal with
Hoard!'s effects.
And yes, as the
FAQ says, you don't discard
Hoard! until
after you draw the three Treasures it gives you.