If a PhD scientist has already published information explaining that gluten would not be distilled with a wheat/barley spirit, then I'm not sure what other evidence we could provide to convince you.
Distillation is a purification process that separates alcohol from the water, carbohydrates, protein (including gluten), yeast, minerals, etc. Gluten is "too big" as you put it, to vaporize along with the ethanol.
Wheat/barley beer does not go through that process, so most likely you did have a reaction to it. Any reaction to a a distilled spirit is 100% in your head.