playBunny: Interesting case! I really want to learn something about your grammar so if I say anything wrong, please mention it to me.

According to you yourself, it is wrong to say logging out because it is an instantaneous thing so continuous tenses don't apply.

But in your own message you say : "Logging out is an instantaneous thing so continuous tenses don't apply."

So how come you use a continuous tense?

And secondly, I think it's just like you're reporting something, a fact, to for example, to the police.

If they ask you " what were you doing?" you say "looking out through the window."

You are no longer doing that but you say it because at that time you were!

I think it's quite the same here. Even if the last action of a player has been done ten years ago, I think it is right to say "logging out" since at that time, he/she has actually been logging out!