Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations cover readOnlyHint and openWorldHint, and the description adds meaningful context beyond them: it discloses the output shape ('Reports HTTP status only, never file contents'), which is important for an agent interpreting results. It stops short of noting rate limits, auth needs, or network/legal constraints of probing a live site.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.