Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare readOnlyHint and openWorldHint, so the safety profile is covered; the description adds the non-obvious constraint that the server has no launch/track coverage at all. Output schema exists, so return shape needn't be described. It could still mention authorization or behavior on invalid course ids.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.