It's in the ballpark if you include all energy source for the family.
100 rooms times, say, 50W (5kW) is 43,000kWh. That's over 10 UK families of 4-5 (4100kWh/yr) for electricity, or 2 if you include gas usage. So for Americans, it's probably must closer to parity.
The fridge does dump heat into the room, so it has a small additional penalty for the aircon in hot countries, but a small, but inefficient compared to a heat-pump, heating offset in cold countries.
100 rooms times, say, 50W (5kW) is 43,000kWh. That's over 10 UK families of 4-5 (4100kWh/yr) for electricity, or 2 if you include gas usage. So for Americans, it's probably must closer to parity.
The fridge does dump heat into the room, so it has a small additional penalty for the aircon in hot countries, but a small, but inefficient compared to a heat-pump, heating offset in cold countries.