The antenna on the model I looked at was deep inside the door behind ice/water dispenser. It seemed to allow for only a narrow angle of exposure (towards the front of the refrigerator).
That might be fine if the fridge is installed along an exterior house wall since then the fridge front would face into the house. The only way that it would work if the fridge is installed along an interior wall is if you can pick up your neighbors wifi
It will be interesting to see what form of wireless home automation will ultimately prevail. There is nothing to prevent using wifi but Zigbee seems currently leading actual product availability (limited as it is). Bluetooth (as already mentioned) is being considered for this purpose as well.
The Internet fridge (depending on how it is being used) might be more bandwidth intensive (and hence wifi the more logical choice) then typical home automation tasks (sensors and controls).