Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare readOnlyHint, openWorldHint and idempotentHint, so the safety profile is covered. The description adds useful context: it operates on *public* URLs (implying a live network fetch and no auth), and it discloses the two specific checks performed rather than just saying 'check'. No rate-limit or failure-mode detail is given.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.