Actually, No and no. The opposite is true about the immune system. In people with celiac disease (which is an auto immune disorder) the immune system is too active, always on guard. Antibiotic over use kills the gut flora, which allows candida albicans to proliferate, which in turn atrophies the villi. They die, leaving tiny holes in the small intestine (leaky gut syndrome) where long and medium chain proteins cross the barrier into the blood, causing an immunogenic reaction.
This is my theory, we have had an incredibly low immune system because of celiac but we have carried on having gluten. We have took antibiotics ( which ruin the villi in the stomach with over use
it's better to research than theorize.