Forum:Reckless greed question

I can't find it in the rulings, so, I had a curiosity in reckless greed, on "avoiding Deck-out"

My question is this, and I don't suppose it matters what I'm running, but, say I have 2 cards left in my deck, and I use Reckless Greed drawing the last 2 cards, would I lose by deck out on my next turn, even though my draw phase is skipped? I've been assuming that I don't, because it skips my draw phase, and no card is activated making me draw