Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the tool's simplicity (3 params, no nested objects) and the presence of an output schema, the description covers the essential context: what it searches, optional filters, and the pagination mechanism. It also specifies parameter formats. It could have mentioned edge cases (e.g., when valid_datetime_min > max), but the output schema likely documents return structure, so overall it is quite complete.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.