Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full burden, and it adds useful wire-level context: the HTTP method/endpoint (POST /api/v1/getcostcenters) and the unrestricted scope ('No filters'). However, it does not explicitly state that the operation is read-only or describe the response shape, though 'List' strongly implies a non-destructive fetch.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.