If you really care that much about fallacies, you should at least pick the correct one. In this case, what you were really looking for is "Tu quoque."

Note: I have provided an example by saying this.

You're right, but technically tu quogue is a type of ad hominem attack. So OP used an ad hominem tu quoque fallacy to discredit the author.

Even though this might not be the strongest argument from a purely logic point of view, it can still be a valid critique on the author.

I think the fallacies list needs an addition for “wrongly accusing others of logical fallacies and linking it in your response”.

In real life, perhaps unlike debate camp, having your actions speak for themselves does actually matter.

I believe they successfully completed the attempt by the time you came along.

This user is of the opinion that the site's behavior is hypocritical and therefore it makes their argument less persuasive. It's their opinion. Putting aside questions of whether invoking logical fallacies here makes sense, it is unclear to me what invoking fallacies can possibly add to this conversation.