Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given only 2 parameters, full schema coverage, an output schema (which explains return values), and read-only/open-world annotations, the description is complete: it covers what the tool does, what the output contains, how to handle the SMTP probe, and differentiates from siblings. Missing prerequisites (e.g., DNS access) are implied by the nature of the check.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.