Classic is definitely better overall for Dominating. However, if you're playing an SMG burst-fire character like me, and you can't afford to waste hundreds of bullets on enemies that you would otherwise just stealth past on Oddity, just to get some experience from them, then Classic can actually put you at a disadvantage.
But, if you don't have to deal with the severe ammo considerations that a SMG gunner does, then Classic is the way to go.