I love oats, and miss them. I tried one batch of oats after I was gluten-free and got an inflammatory response not like a gluten reaction, but still inflammatory, so no good... But I haven't done a big study of oats to understand all the issues.
This article will help anyone wanting good solid RECENT information on the oat issue for celiacs and those with other types of gluten-intolerance:
As this article points out, the biggest issue is contamination, but it's not the only issue.... PL