Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already cover the safety profile (readOnly, idempotent, non-destructive, closed-world), so the bar is lower. The description adds the important conditional behavior — it returns data only "if one is running" — which is the key behavioral nuance an agent needs, though it says nothing about the shape of the no-timer response or any rate/permission constraints.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.