You're right about the opening. You're definitely right about the curse as well. It doesn't make sense if there's no draw:
-When you return a curse, you're spending 2 cards on an attack. You can't afford that if you don't have draw.
-If my deck is already bloated and your deck is sleek, the "dead card" part of the curse is hurting you as much as it's hurting me, even if you only have 1 and I have 6.