Put battery on "storage" while priming fridge?

We usually run a cord from a 15amp outlet using an adapter it provides enough power to cool the refrigerator. The power incoming on my rehall goes to converter suppling 12v control power and 110v to refrigerator I would not run an a/c or microwave in this configureation but this is how we cool our refrigerator before use. It save a little propane too.