Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare readOnlyHint=false, idempotentHint=false, destructiveHint=false, so the 'WRITE:' prefix adds little. What does add value is the membership precondition and the note that groups drive course/path assignments, hinting at downstream effects. It still omits what happens on failure (e.g., error when already a member) and whether assignment propagates immediately.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.