I don't think the clip is making fun of people who eat gluten-free, it's making fun of people who follow dietary advice without any thoughts and reasons why they should other than to be cool or lose weight.
For some, being gluten-free is a prescribed treatment for their disease. For other's it's just a diet.
But I know what y'all mean. It makes me quite angry when people start referring to "the mediterranean diet" as if it's some sort of diet to try for weight loss. Uhm, no - it's the way people eat in the mediterranean.
"Binging is a descent into a world where every restriction... is cut loose. At its core is a feeling of deprivation.. a feeling you can never get enough. Binges do not signify a lack of willpower or inability to care for yourself. On the contrary, binges are a urgent attempt to care for yourself when you feel uncared for. They are the voice of survival. Binges are the mark of the self that says, 'I am tired of feeling deprived, of being told I am wrong, that I am bad." - Geneen Roth