Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare readOnly, idempotent and closed-world, but the description adds material behavior beyond them: the address is POSTed and not stored or logged, the check is purely list-based with no DNS/MX lookup, and it shares keys and limits with the REST endpoint. These are exactly the operational facts an agent needs.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.