Hopefully someone like Al, (Almarg), will chime in.
The AE cable is only one meter while the GH cable is 1 1/2M.
Is it the length of the cable that could be the culprit or is it the design/construction differences?
10-09-15: Jadedavid
As for the AC power side of the equation when the furnace or hot water is turning on or off a transient spike is being sent out on the AC mains. Just guessing the transient causes a quick brief problem with the DAC or maybe even the transport. For some reason the AE digital cable is not capable of maintaining a good digital lock between the transport and the DAC. It's like the AE digital cable was just on the edge of maintaining the digital lock between the transport and the DAC before the transient spike event would happen causing the drop out.
Either way, thanks for the suggestions to get the gremlins out. I will also look into the service panel today to check the wiring as to which leg of the mains might be in common.
10-09-15: Jadedavid
You never said if the furnace or hot water heater are gas or electric.
If electric my guess is they are fed by single phase 240Vac.