Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare readOnlyHint=true and openWorldHint=false, so the safety profile is covered and the description needn't repeat it. However, with no output schema present, the description carries the full burden of describing the return shape and it does not — an agent cannot tell whether a disconnected state is reported as a boolean, a status string, or an error, nor whether the check is passive or triggers a reconnect attempt.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.