Any sort of food intolerance, like gluten intolerance, will trigger inflammation in the GI tract and will reduce nutrient absorption. The amount of inflammation and hence the severity of malabsorption will depend on how severe the reaction is. It will also likely cause symptoms like diarrhea, constipation, gas, bloating, abdominal pain, etc.
So, Peter, you could also be gluten intolerant, especially if you do better on no-carb diets.
I would say mild versions of gluten intolerance are much more common than is thought. I think, as a protein, gluten has never been too kind on the human intestinal tract. And it really hasn't been in our diets for very long; only since we started farming.