Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare readOnly, idempotent, non-destructive and closed-world, so the safety profile is covered; the description adds the non-obvious behavioral fact that there are no accounts and that a missing management_token falls back to the Authorization header. It does not disclose what happens when one token in the batch is invalid (whole-call failure vs. per-job error), which is the main unstated trait of a batched read.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.