The Short Version
This claim is well-supported. Multiple peer-reviewed studies — including large-scale cohort analyses published in PubMed Central and findings reported by the BMJ and American Heart Association — consistently link sleep regularity to lower risks of cardiovascular disease, metabolic disorders, depression, anxiety, and all-cause mortality. The CDC also recommends consistent bed and wake times. The claim's moderate language ("important for health") accurately reflects the strength of the evidence without overstating causation.