Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the tool's simplicity (zero parameters, no output schema), the description is nearly complete. It clearly states what it returns (the user identity). It could optionally specify the output format (e.g., user object fields), but this is minor for a basic getter. Overall, an agent can confidently invoke it.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.