I'm not a fridgie, but my understanding was it's not a good idea to have your compressor switching on & off continually, hence the large temperature dead band in a normal fridge/freezer. If you measure the airtemp with such a tight setting, surely your fridge will be switching on/off all the time.
Measuring airspace, will not keep an active ferment at your desired temperature, submerging your probe or fixing to outside of fermenter will work much better.
Wortgames - i agree, if you have a large deadband, then measuring air temp would be better

but that's not the case with the unit we are talking about...
cheers Ross