Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare readOnly, idempotent, non-destructive, closed-world, so the bar is lower. The description still adds real value by disclosing the output nature (a fixed explanation plus a suggested alternative calculation) and a privacy constraint: no request text, names, identifiers, or document content are accepted. It doesn't mention determinism of the fixed text beyond idempotentHint, but the important behaviors are covered.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.