Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare readOnlyHint=false, idempotentHint=true, destructiveHint=false and openWorldHint=false, so the safety and idempotency profile is carried by structured data, and an output schema exists so return values need not be described. The description adds only the create-vs-update distinction and the "private" attribute; it does not explain replay semantics of idempotencyKey, what happens on key collision, or any limits beyond those in the schema.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.