But I'm concerned about reactions I've seen. I've witnessed multiple discussions of this article, and "Now those stoopid gluten-free people are getting their comeuppance" is a common thought.
That isn't what the article is about. First of all, the study addresses gluten specifically, not wheat more generally. Second, there are speculations about the irritant effects of FODMAP carbohydrates[1] and the nocebo effect[2].
Actually, I find the mention of the latter to be a bit odd. Some doctors recommend rotation diets to patients with food intolerances, on the theory that some people can rapidly develop an intolerance to food eaten multiple times in a multi-day period. I do not know how rigorous the basis for this idea is. But perhaps it ought at least to be considered, if an experiment suggests that a diet causes no problems initially, and significant symptoms of intolerance later.