I am torn about the page having a scrollbar. It would be nice to be able to read the entire page without having to scroll. But you can not guarantee that anyway as the browser window might be arbitrarily small. It punishes you for not doing nothing and wanting to read the text which is the point. So maybe the page should actually ensure that there is always a scroll bar, place the statistics always below the fold.
The fact that you describe the act of missing a site's self-described "pointless statistics" as "punishment" screams volumes about our current state. The point is to do what it says, which may involve not even looking at the screen whatsoever
"There is no reward for lingering. Just the pleasure of simple being."
If you're looking for something that rewards you for doing nothing on the other hand, your favorite IRC server probably has an #idleRPG channel to join