Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the annotations (destructive, idempotent), complete schema, and existence of an output schema, the description covers all necessary aspects: what it does, required permissions, idempotency, and identification method. It is fully adequate for a simple delete operation.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.