Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a low-complexity, two-parameter tool with an output schema, the description covers the key operational facts: what it does, that it is idempotent, what it does not affect, and access restrictions. An agent has enough information to invoke it correctly without further clarification.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.