Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
The annotations already declare readOnlyHint=true and destructiveHint=false, so the safe read-only nature is covered. The description adds the 'local' and 'process status' scope, but does not provide additional behavioral detail such as what exactly the status output contains or whether it might throw errors if no server is running. With the output schema present, the agent can likely infer return structure, so the description adds minimal but acceptable value.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.