  It is often supposed that a quantum system is not disturbed without state
change. In a recent debate, this assumption is used to claim that the
operator-based disturbance measure, a broadly used disturbance measure, has an
unphysical property. Here, we show that a quantum system possibly incurs an
operationally detectable disturbance without state change to rebut the claim.
Moreover, we establish the reliability, formulated as soundness and locality,
of the operator-based disturbance measure, which, we show, quantifies the
disturbance on an observable that manifests in the time-like correlation even
in the case where its probability distribution does not change.
