You can now access the "public" web site when operating a private database.
It is not "public" as such - you need to log in to the admin panel first. Once you do you can go to the reports section and select the "Web Site" and it will take you to the public web site.
If you aren't logged in to your database then you don't see any data on the public web site.
This is useful for those that want to control who gets access to the stats data. You grant users level 1 league access and then they can access the site stats.
For example - if you have junior players and you want to keep their names private to the public but allow the junior players and their parents to still see their stats.