Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already establish readOnly, idempotent, non-destructive behavior, so the safety profile is covered. The description adds the cost hint ('Cheap.') and hints at breadth of return, but omits behavior on missing/invalid ids or what 'student links' resolve to. A modest addition beyond the annotations.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.