Two recent studies examined nutrition in the gluten free diet. The studies found celiac disease patients lacking, with one study concluding vitamin and mineral deficiencies are common and another that patients’ focus on avoiding gluten interferes with their attention to overall healthy eating.
Find the studies here: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7071237/ and https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7230195/