Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
With an output schema present, return values need not be spelled out, and the description still covers entry-point intent, filtering, sorting default, and paging. Nothing critical is missing for correct invocation, though routing to the sibling lookup tools is unaddressed.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.