Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations cover the safety profile (readOnlyHint=true, destructiveHint=false, openWorldHint=false), and the description adds substantial context beyond them: the check is performed offline, requires no token, is free, and explicitly does not assert account existence or ownership. That tells the agent exactly what kind of answer to expect and what it cannot rely on.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.