This screen compares mouse movement at different display refresh rates. Set your display to its highest refresh rate. Then stare at a fixed gaze in middle of animation.

See photo comparison of mouse movement at 60 Hz versus 120 Hz versus 240 Hz. Observe that doubling your refresh rate halves the distances between mouse cursor steps at the same mouse movement speed. This is still also visible on 240 Hz displays found in the List of Best Gaming Monitors.