Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the burden of behavioral disclosure. It adds the per-page billing detail, which is useful and not present in the schema's exact form, and 'Search' implies a read operation. However, it does not describe response contents, pagination limits beyond the schema, or any side effects or rate-limit considerations.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.