Yes. Network management systems are Annex III Class I. The category is the management plane - the system that configures and monitors network devices - not the devices themselves.
Network management systems
Annex III, Class I, point 6, Regulation (EU) 2024/2847
Routers, modems and switches are point 12, a separate category in the same class. A controller that manages access points is point 6; the access points and switches it manages are point 12. Both are Class I, so the route is the same, but a report that names the wrong one is citing the wrong line of the annex.
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.