Drink driving is not Moral turpitude, you can enter on the Visa Waiver Scheme. As long as you did not at the same time say run red lights, crash and injure anyone else, i.e. inflict harm, or potential harm on others (the basis of Moral Turpitude)
The Embassy helpline, in my experience, are quite capable of giving out incorrect info.
If I were you, and you had a simple, single DUI, I'd just go, use the VW programme and if you get hauled up (unlikely) tell them as much. If ever they asked 'Why did you call the Embassy helpline?' - well it is because as a responsible citizen, you wanted to be sure you were doing everything right.