Compressor fridges don't need fresh air, they need "cooler air". If outside air is cooler, then it will work better, as long as it's not freezing cold outside - too cold ambient will confuse the fridge.
When running on room air only, wherever air is sucked in, it must exit somewhere. This hot air wants to go up. If condenser is on the back and you block it from the sides and leave very little space above and no roof vent, it will work harder. If you leave narrow space behind and either roof vent or ample room above to keep hot air flowing up, it will work better.
This is not an OEM install. Read the manual and use your common sense.