I didn't run into any card draw cards in the deck, but there were a few removal spells and some other various stuff like a couple buff spells. There's probably a halfway decent chance you'll get at least one random creature that provides at least some kind of card advantage, too.

I used the emblem every turn and never ran out of cards; I might have eventually but the games didn't last that long. Building the board early game seemed worth it. I could see passing turn 1 though. Thanks for the advice!