The radio will only shut off if the drivers door is opened, so, no problem there.I am experiencing this same issue with my 2014 Chevrolet Cruze the radio with just randomly stops working worse after driving a while and also I have noted if you turn off the vehicle and exit the passenger door only the radio stays playing unlike if you exit the drivers door or open it the radio shut off. I am thinking there's a serious electrical problem with this vehicle. I question if all the recalls have been addressed? Or is it possible I was sold a lemon?
But, if the radio shuts off (blank screen) while driving, then you are describing one of the problems the update mentioned above addresses.
A lemon demonstrates far more problems than minor electrical concerns......(think engine/transmission.....expensive stuff).