I have a 2012 R2 domain server that is set to run Automatic Maintenance tasks daily at 3:00 AM this was set from the control panel. Last night it installed the updates from WSUS at 6:45 am and rebooted at 7:05 AM.
The Configure Automatic Updates GPO is set to 5 - Allow local admin to choose setting. However the Scheduled install day is set to Every day with a scheduled time of 6:00 am, but this is only supposed to be applicable if you are set to 4. And this doesn't affect our Server 2008 R2 servers which are all also set to 5.