Yes. Password managers are named in Annex III Class I, so a password manager is an important product with digital elements and cannot be self-assessed under the Default route alone.
Password managers
Annex III, Class I, point 3, Regulation (EU) 2024/2847
Privileged access management is point 1. The distinction is who the secret is for: a vault for end-user credentials is point 3, a system that brokers administrative access to infrastructure is point 1.
The same rulebook that produced this page runs the free check. It reads your products, classifies each one against Annex III and IV, and gives you an indicative verdict with the reasoning and citation for every product.
Indicative assessment - not legal advice and not a conformity assessment.