Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full burden. It discloses the diagnostic nature ('Check connectivity') and specifies the return values, giving a clear picture of behavior. It doesn't mention potential side effects or authentication, but the tool's simplicity and read-only nature are reasonably inferred.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.