Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations provided, the description carries the full burden of disclosing behavior. It clearly conveys that this is a destructive action ('Stop') and adds the important safety constraint that only the orchestrator-owned PID is affected. It could mention what happens if the process is already stopped or whether shutdown is graceful, but the core behavioral risk is well covered.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.