Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already cover the safety profile (readOnlyHint, destructiveHint=false), so the bar is lower, and the description still adds real value by disclosing the state machine and the polling contract that an agent must follow. It stops short of stating rate limits or whether repeated polls are throttled, which would be the remaining useful detail.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.