Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations cover the safety profile (not read-only, not destructive, not open-world), so the bar is lower. The description adds real behavioral context beyond them: this tool itself does not restart the stream, and the subsequent set_live_activity_stream call consumes push-to-start budget, which is a cost/limit the agent should know about.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.