Oddly enough, I saw quite a few of the doorless variety while on vacation in Hawaii. It seemed like every supermarket had at least one bank of doorless fridges. They run 24/7 on an island with 100% humidity and crazy high energy costs.
Still losses to have to cool down to 5 Celsius instead of 20 Celsius though, makes the heat pump a lot less energy efficient.
If home refrigerators did the same, it would reduce your electric bill quite a lot, especially in places where A/C is used.