Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations only declare the generic profile (not read-only, not idempotent, not destructive), so the description must add real behavior — and it does: call-once semantics, the hold-out being settable only at creation, and the single sibling that may later test it. It stops short of saying what happens on a duplicate call (error vs. new study), which is the one behavioral detail an agent would still want.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.