Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the tool has 10 parameters, a mutation operation, an output schema, and annotations, the description covers the key non-obvious aspects: allowed operation, the 'at least one setting must remain' constraint, API key authentication, and the exact error object shape. Success return behavior is not described but the presence of an output schema makes that acceptable. This is a complete update-tool description.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.