Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With annotations already declaring non-read-only, non-destructive, non-idempotent behavior, the description adds real value beyond them: "Sends nothing to anyone and charges nothing" rules out email and billing side effects, and "POST /products" pins the operation. It stops short of noting duplicate-id behavior, which is the one trait (idempotentHint=false) an agent might still misjudge.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.