Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already cover the safety profile (readOnly, idempotent, non-destructive, closed-world). The description adds real value beyond them by disclosing the algorithm (bidirectional BFS) and the deterministic shape of the result (full path plus degrees of separation), which explains why the operation is idempotent. It omits edge-case behavior (e.g., what happens when no path exists).
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.