Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the complexity (nested filter, pagination) and the presence of an output schema, the description covers the essential behavioral aspects: read-only, global scope, batch filter semantics, and OR matching. It does not explain pagination, which might be expected for a list tool, but the use case ('whole batch in one RPC') suggests it may return all matches. Overall, it is complete enough for an agent to use effectively, with minor gaps around pagination.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.