It would be great if it counts the real number of visits. In my develop system, that is not conected to internet, it counts visitors more that mine. Even 3, 4, 5 in a few seconds.
In my web site, it counts more than 1000 per day. One day it counst less than 100.
Webalizer count less than your counter every day and more when your counter goes down.
You have a real bug.