Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full burden. It usefully discloses that the call reports whether the job has stopped (implying the stop may not be instant), but it omits whether the kill is forceful, whether it is idempotent, and what happens for an unknown or already-finished job_id.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.