Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full burden for behavioral disclosure. It does reveal the non-obvious behavior that the last known result is kept, which is helpful. However, it omits important traits for a mutating/destructive operation: whether the agent is terminated, idempotency, what happens if the agent is not idle, and any side effects or permission requirements.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.