This noise is pretty identical to my issue. I started a thread on this one here:
My noise sounds exactly like your issue but it definetely varies with the type of guitar that I am using and the pickup position. Some profiles are dead silent (even with distortion), others are really bad.
It also is influenced by the way my guitar is aimed in the room. In some akward position I can actually make the noise go away, but the typical position while guitar playing is unfortunately quite noisy. Have you tried different guitars and/or different guitar orientations in the room if these influence the noise that you have?
Paul...? Is that you? lol! I love your guitars!
I really don't think it's the same issue. Mine happens regardless of what guitars, pickups, cables, placement, position etc. When it started happening I was using my PRS while sitting on my couch on one end of the room. Then I swapped the cable and grabbed my Ibanez and sat at my studio desk and still happened with the clean rig I was using at the time and all other rigs I tried.