Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations declare the safety profile (readOnlyHint=false, destructiveHint=false, idempotentHint=false), and the description adds substantial context beyond them: the two distinct failure modes (proof did not hold vs. could not check), the authorization requirement, the mutated end state ('the listing is yours to manage'), and a rate-limit/budget constraint with guidance not to poll.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.