If you are in the condition of needing a UPS (battery) electric supply system, you are NOT in the condition to be wanting to waste that stored power on air conditioning.
now, YES, you may "want to" use air conditioning, but you DO NOT KNOW how long the power will be out. You CANNOT KNOW what the future recovery will be (a few minutes, a few hours, a few days. You ONLY KNOW your current reserves and your current stored energy (gas cans, automobile tanks, generator tank, lawnmower tank, and the batteries in your house and the UPS system.) That's IT. That's ALL you have.
Now, we expect power and services to come back (after the tornado, after the regional storm, after the earthquake, the tsunami, the hill slide or volcano (well, maybe a long time after the lava cools ) ... But you cannot know how long.
So, do NOT waste your stored energy and your reserves on air conditioning. Charging a cell phone or radio or CD player? Absolutely. Running a electric stove or oven? No. Running a microwave? Maybe. it will be much more efficient than a heating element! Running lights in the bathroom? Yes. If no battery lamp is on the wall.