Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the burden and does so well: it discloses the required owner key, its source (ORG_OWNER_KEY env var), three accepted header forms, and that the key is never logged. It does not say what happens on a missing/invalid lesson_id or whether the operation is idempotent.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.