Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations only tell the agent this is a non-read-only, non-destructive, open-world write. The description usefully adds that passing null clears the existing assignment, which is real behavioral value beyond the annotations. It still omits whether re-assigning an already-assigned student silently overwrites the previous member or errors, and 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.