Re: Login
No! it doesn't.
Even if you are logged on, and leave your PC on and your browser on and leave it like that for like 5 minutes, then you are autmatically shown offline. Though you are still logged on, as soon you click on another link or show some activity on GS, then you are again shown in the "currently online" members.
Also if you close your browser, then you are shown offline from that time on.