I remember a program from back in the day when USB miners were your only option to mine Bitcoin, called "cgwatcher". The program was made solely to restart cgminer at intervals set by the user. Having said that, I would presume the culprit has something to do with cgminer.
The solution to the problem seems to be the same for everyone - either manually restart cgminer and/or run a script to do it automatically for you.
I agree that the culprit isn't the NewPacs or Sidehack, as I have running a restart script since the days of .333 G/h USB miners. I still have my old .bat restart script for Windows archived. If anyone wants me to post it, I will.
Restarting loses only seconds, where if it goes offline you may lose minutes or hours.