To do that, you should also couple the pointing out of a fallacy with some reasoning as to why the conlusion drawn is incorrect, not just that the logic used to get to it was fallacious.
If you don’t address the conclusion at all, then you haven’t really done much, argument-wise.
You’re right, it’s not a complete argument by itself, but it is a smart rebuttal to identify the fallacious logic.
To do that, you should also couple the pointing out of a fallacy with some reasoning as to why the conlusion drawn is incorrect, not just that the logic used to get to it was fallacious.
If you don’t address the conclusion at all, then you haven’t really done much, argument-wise.