Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given no annotations and no output schema, the description is incomplete. It doesn't explain what status information is returned (e.g., pending, completed, failed), potential errors, or how it integrates with the sibling tool. For a status-checking tool, this leaves significant gaps in understanding its behavior and output.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.