Purpose: This study aims to analyze how data center and cloud service disruptions can escalate into broader social disasters and to propose measures to strengthen the continuity of information and data communication resources through an improved Business Continuity Management System (BCMS). Research design, data, and methodology: To this end, a continuity assessment framework comprising seven analytical domains, including business impact analysis, risk assessment, utility protection, communication, and training, was constructed on the basis of the revised Corporate Disaster Management Standard. Using a comparative case study design, this study analyzes the 2022 Pangyo private platform data center fire and the 2025 Daejeon public data center fire. Results: The findings show that both cases revealed common vulnerabilities in the management of interdependencies among resources and in the verification of practical recovery training. The private sector demonstrated relatively high technical agility in the service recovery process, but governance linkages and inter-organizational coordination were limited. In contrast, the public sector had a more formalized response system, but empirical validation at the operational level of redundancy and resource failover procedures was found to be insufficient. Conclusions: This study concludes that digital continuity cannot be secured through simple technical redundancy alone and should instead be supported by an integrated BCMS that combines infrastructure resilience, utility protection, governance coordination, and crisis communication across both the public and private sectors. These findings provide practical implications for strengthening continuity planning in digital service environments.