Thanks for bringing this up. According to Dr. Green’s book Celiac Disease: A Hidden Epidemic:

Celiac disease is a delayed type of immune reaction-it is not a food allergy.

A true food “allergy” involves IgE antibodies circulating in the blood stream that trigger an immediate allergic reaction. When producing the video, I made the mistake of thinking that any immune response is equivalent to an allergy, which is incorrect.

On the other hand, I would not classify celiac disease as an intolerance, which Merriam-Webster defines as a:

exceptional sensitivity (as to a drug); specifically : inability to properly metabolize or absorb a substance

For example, people who are lactose intolerant insufficiently produce the enzyme lactase, which is required to break down the milk sugar lactose.

For people with celiac disease, it is an inappropriate immune response to gluten, rather than the inability to break down or absorb it.