A problem with your idea of sucking out the air is that it would make the refrigerator work worse than one with air in it.
In a fridge, the things are cooled because the air moves between the food that has to cool down and the cold fins in the back, transporting heat from the food to the fins.
Without the air, cooling is only through radiated heat (and evaporation in things that are not packed airtight, freezer burn much?) which is a lot less effecting.
This means that it's useless for cooling things down fast enough to keep bacteria from growing like crazy.

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