Hyperautonomous AI facilitates medical diagnosis and digital sharing of medical records, whereas data security and privacy protection remain critical issues for smart healthcare. This work proposes an efficient anonymous and traceable certificateless aggregate signature scheme. It removes certificate management overhead and solves the key escrow problem. Pseudonyms and traceability reconcile privacy protection and supervision, and aggregation plus batch verification lower computational and communication costs. Evaluations prove the CASA scheme has stronger security and better efficiency, well suited for privacy-sensitive and resource-limited hyperautomated smart healthcare.