CAD explains what their boxes do here: http://www.computeraudiodesign.com/CAD_Ground_Control.pdf
In a nutshell, their devices turn high frequency noise into heat. Why attenuating ground plane noise that is far above audible frequencies improves things is not entirely clear. However, the effect ranged from positive to dramatic in every system I have heard them tried in. They seem to have the largest impact on the device with the most high frequency noise. In most systems that will be whatever is feeding a digital stream to the DAC.
I first heard them at Axpona based on a tip from a friend to check them out. The CAD system sounded different (different “better”) than everything else digital at the show including some very high priced stuff. It was so good I had to try one at home.
In my opinion they are essential and I plan to get at least one more. In my system a single CAD ground control connected to the streamer made more difference than a major DAC upgrade (which I was quite happy with).
Sounds like a nice idea but isn't true at all, for obvious reasons. The device isn't parallel, it's perpendicular. Nothing will flow that way from your current equipment.