Whether you believe me or not is something that doesn't matter to me at the moment you say that this is a punishment or that the system is shit, therefore, and as I already told you once, it is your problem.
I am not saying that I am getting punished neither that the system is shit. You and lucius are taking something objective to the personal side.
I am just pointing out some obvious (or at least suspicious) bug in the online time. And if it affects me, it certainly affects other users as well.
And some bad design in the ranking up rules (which are hidden, quite bizarre for such forum).
And while the system has such flaw, I believe discussions about karma requirements such be put aside.
Anyone with basic IT knowledge will certainly find my online time strange.
What you are suggesting is basically that I burst posting. I just post and run, basically without reading anything etc, as I have about 1/3 of online time of people with same age of my account.
However, looking at my stats, that is not the case.

You can see a constant activity from 8am to 11pm. Well distributed posts along time and boards (not just one specific board for example).
Also, high karma compared to other accounts with more online time.
Everything suggests that this looks at least weird and uncommon.
This wouldn't even matter if such stats weren't important to rank up.
Anyway, I still doubt that this is important to rank up, as there is no such proof so far. Maybe admin told you because you are a President, in which case you should have said.