Since these are official AMD forums, its understandable that they want to keep them strictly on topic and avoid any sort of discussions that could lead to flames, etc. One of the typical religion/abortion/gun control/politics threads wouldnt look too great here.
But, still, its nice to let the boards members create a community by interacting with each other beyond a "strictly business" setting. It would encourage people to stick around and become active posters, instead of just coming here once in a blue moon when they need tech advice. And by nurturing active posters, you create less of a burden on the official AMD techs - there would be plenty of veteran posters around who can answer many of the basic tech questions.
So, here's my thought: Add a link to the forum index page to an OT board. It would look like a regular link to forum - but it would actually link to a non-AMD site. Obviously the link description would say such, and would include your typical disclaimer that all opinions are of their respective authers, yadda yadda.
This way we have easy access to an OT forum without the "unprofessional" appearance it might have on the board as a whole.
I'm sure there are a number of tech sites who would jump at this opportunity, as it would generate a great amount of traffic for them.