If you think of the room as including the inside of the refrigerator, then opening the door does nothing. But ultimately, if you leave the door open the only end result will be spoiled food. It’ll cool the room a little, but also heat it up a lot more. A clever thing to do would be to put the heating coils outside of the room. The room would get cooler, the outside would get warmer (slightly), and you’d have re-invented air-conditioning.