A vision display system for a vehicle includes a rear backup camera and display device that includes a video display screen. Upon an engine of the vehicle being started after initial ignition on of the vehicle, initialization of the display device is delayed or overridden upon shifting the vehicle transmission into reverse gear to commence a reversing maneuver in order to give priority to display by the video display screen of video images derived from image data captured by the rear backup camera during that reversing maneuver. Within two seconds of that shifting of the vehicle transmission of the vehicle into reverse gear, the display device displays on the video display screen video images derived from image data captured by the rear backup camera. The video images may be displayed for no more than 10 seconds after the vehicle transmission is shifted out of reverse gear.