Well I happen to be a clinical chemist, but beyond that, anyone with celiac disease can tell you this from personal experience.
I once carefully picked a piece of cheese from a sandwich that had been made an hour or so earlier. I spent the night in an emergency room on an IV.
I realize you don't know much about this disease. Celiacs are told to use only certain toothpastes because many of them contain gluten. We are asked to have our own pots and pans and to avoid teflon which has had gluten on it in the past. I have my own toaster because crumbs from the one my family uses can make me sick. We have to pick and choose our spices as well.
So, everyone but McDonald's knows this to be a fact. And if their research shows that the gluten in the cooking oil does not transfer to the fries, then they're lying. Correct?