Training and awareness, asset management, third party management, policies and procedures, legal (you should have lawyers looking over HIPAA/PCI/GDPR stuff, not a programmer), identity management, incident response, recovery & business continuity, communications plans, PR...

I could keep going. All of these things could have some software engineering component, such as with identity management: there is a component there that deals with (for example) writing code to integrate your web app with multi-factor authentication, but identity management also encompasses things like writing good access control policies, managing the legal requirements for access, training people on how to use that multi-factor auth, etc.

Engineering skills are of course of great use if you are talking about the security of a specific codebase or doing penetration testing or doing the nitty-gritty customization of a security application, but "cybersecurity" is much more than that.