The one problem is that these people are constantly eating gluten. The gut needs time to heal from things that bother it, and while inflamed anything will bother it. I have a gluten intolerance. If I am eating gluten constantly, I will get sick on many foods for a while; gluten free or not.
I think overall this headline is just click bait. We shouldn't be looking to prove that "x thing does not exist" because people in real life do experience x and saying a test proves otherwise doesn't just make that condition vanish. Instead we should be looking at "is x really y" or "is there something we don't understand about x".