I think the second form is supposed to be a superset; you try to find all the best arguments you can for every position. That includes the ones other people are using, but if you can think of a better case to make for them then you should answer that as well. In no event should you ever say "you're arguing X but Y is a better argument and that's false so you're wrong" without also answering X, but "you're arguing X, which is wrong because X', but a better argument for your position is Y" is still legitimate.