Building the ISMS vs. judging it
ISO/IEC 27001 sits at the center of how much of the world formalizes security management, and organizations certify against it through accredited audits. The Lead Auditor credential certifies the person who plans and leads those audits under ISO 19011 audit practice.
The CISSP certifies the people on the other side of the audit: the practitioners who designed the controls, run the program, and answer the auditor's questions. Both roles are senior; they are simply different jobs, and the market hires for them through different filters.