Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare the safety profile (readOnlyHint=false, destructiveHint=false, idempotentHint=true), so the bar is lower, and the description still adds real value: history/timestamp recording, the no-op behavior when setting the same status, and explicit error semantics ('not_found' for missing/foreign id, 'invalid_payload' for unknown status or empty update). The only mild redundancy is stating return values when an output schema exists, which keeps this from a 5.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.