A uniform wheel of rotational inertia \(I\) is mounted on a fixed horizontal axle through its center. Starting from rest at angular position \(\theta = 0\), a mechanism exerts a net torque such that the wheel's angular acceleration varies with angular displacement according to \(\alpha(\theta) = b\theta^2\), where \(b\) is a positive constant. A student uses the constant-acceleration kinematic equation \(\omega^2 = \omega_0^2 + 2\alpha\Delta\theta\) to estimate the angular speed at displacement \(\theta\), substituting \(\alpha(\theta) = b\theta^2\) to obtain \(\omega_{\text{est}} = \sqrt{2b\theta^3}\). Which of the following statements correctly compares the actual angular speed \(\omega\) to \(\omega_{\text{est}}\) and provides the correct justification?