Just note that this isn't true. It will only match perfectly for the pure horizontal or vertical points. The reason is because the aim will curve with the pitch as soon as you deviate away from the equator. Any movement that isn't pure yaw/horizontal, is a change in pitch. Even pure yaw movement is circumstantial. As an extreme case, look straight up or down, your aim will be so curved you will be a spinning ballerina, yaw movement will not reach the point on the ring. Diagonal movement will not perfectly match a point on the ring either. The only movement that will reach a point on the ring would be vertical movement.
2D is flat, so the cursor always moves in a predictable way. 3D isn't, only pure vertical movement is always moving the shortest path and will match the point on the ring. Horizontal is circumstantial, requires a pretty neutral pitch. Diagonal will not match any point. This is a reason why I think monitor 'distance matching' isn't helpful in any meaningful way. The result is just an arbitrary change in sensitivity that may happen to be close to preference.