Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already cover the safety profile (readOnlyHint, destructiveHint=false, closed-world), so the bar is lower. The description adds real behavioral context beyond them: the syllabus is a generated artifact that may not exist for every course ("when this tool has one"), and the payload is markdown. It stops short of saying what happens when no syllabus exists.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.