Excellent example of why we don't pick and choose words and quote them out of context.
Aside from what others have mentioned, both articles conclude the scientific research is unclear. Additionally, both stress the danger of cross contamination, such as touching chicken feed with gluten.
There are quite a few ways to handle this. No doubt removing chicken feed with wheat from your environment is a good step. Seeing your allergist would yoeld advice that is perhaps more to your standards. I am not sure what you excepted from a chicken forum on this topic. However I get the feeling you are disappointed.
Please note that I have no interest in an argument on this topic.