Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
The annotations already cover the safety profile with readOnlyHint, idempotentHint, and destructiveHint. The description adds useful behavioral context by specifying what the status report contains: running/complete state, elapsed time, and report availability.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.