Server Core "Theoretically" reduces the number of Security Bulletins
Just after publishing our video on Server Core, I visited Jeff Jones Security Blog, and found this post
on how having a server OS being installed in a "Core" installation mode, would have reduced security vulnerabilities for Windows Server 2003, if the option was available.
At the blog post there is a report you can read which goes through various benefits from a security point of view for installing Windows Server Core.