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Hmmmm, haven't been playing with that but followed a few links off your link you provided and eventually got there. Did this
1) Browse to /administrator/?option=com_login
2) At the login form, enter a super user's username and password
3) Go to Site->Global Configuration then click on the "Permissions" tab
4) Under the Public drop down, set the "Admin Login" to "Not Set". Note: you should set all values in this Public drop down list to "Not Set" (viewtopic.php?f=624&p=2785068#p2785053).
5) Click Save & Close
6) Try to log out and if the login form appears, this method worked and your site should be fixed.