Sure we aren't, but a mistake is a mistake, even if it's one that come from logic.
Wouldn't you correct me if I said that the sky is green? Why wouldn't you correct me if I made a formal logic error then? The funny thing is that unlike logic, my sentence could be actually true.
For sure there's ways to do it that's wrong, like doing it to feel superior, but it doesn't means that it's wrong to point out logical mistake altogether because of that.
I think fallacies should be taught earlier in life. When I learned them, I found out so many mistake I made regularly in my ways of thinking, and even from a quick glance of that website, I found many more of them that I clearly did from time to time.
It's okay to makes mistake, but the impact of the mistake I may have made in some case is certainly not okay.
Maybe this could be useful resource to disprove and shut down attacks that misuse formal fallacies.
To my experience, calling out an internet interlocutor for committing a formal logic fallacy only serves the purpose of shutting down conversation.
After all, formal logic fallacies apply to formal logic statements- but internet conversations are not carried out in the language of formal logic. They are carried out in natural language (natural English, most often). Therefore, formal logic rules do not apply. One might as well accuse an interlocutor that they have miscalculated the gradient of their comment.
We comment on the internet. We say what we think makes sense in the way we think it makes most sense to say it. We are not infallible logical machines that calculate the truth or falsity of logical statements by rigorous application of a set of rules of inference. We are not little lay philosophers trained in formal logic, engaged in rigorous debate. We sound clueless and pretentious when we try to sound as if we were.
We should learn to not take the name of logic in vain.