Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare readOnlyHint=true, so the safety profile is covered. The description adds genuine non-obvious context: the data is mutable and written by the run itself, and it enumerates the content categories (progress, checkpoints, custom state), which tells the agent this is live state rather than a static record.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.