I don't understand the claims about icing up at 21c. The compressor is outside the room on a split system. My compressor for my house ices up outside in winter when I use it to heat, the temperature outside might be -2 below but the unit runs for a couple of hours before it ices up, then it de-ices itself by running in reverse for a few minutes. When using split a/c to cool, obviously it is the fan inside that runs cool, mine drips a lot but I have never seen ice form. If it did form ice it would still be cooling down the coolroom because the hot side is the compressor outside, having ice inside a coolroom would still be cooling it down. As far as I know the theory about drawing huge amounts of power at startup is just an urban myth, I have asked several professionals about this and it doesn't seem to be true. A/C units the days run on DC from inverters so they are pretty efficient for power use.
I still can't see the point of putting a fridge in a coolroom, it seems a bit like leaving the fridge door open down to cool down your house, might work for Homer Simpson but not much good for the rest of us.