Well, if you don't get banned in the next few weeks I wouldn't worry about it, honestly.
At any given time you can find me standing around on my account, not doing shit. I browse facebook and D2jsp, and just click back on the Runescape screen to keep myself logged in until I figure out what I want to do. I've been known to do this for hours at a time, and I'm sure many other are guilty of the same.

it might prove that you are correct.