Erik, I’m aware that there have been measurements of electrostats that apparently showed chaotic diaphragm behavior. Such chaotic behavior would be inherently non-coherent and therefore fall off more rapidly with distance than the signal being produced coherently over the entire diaphragm, which approximates a planar source up close, transitioning to approximating a line source or sometimes a point source as the distance increases.
In other words, if this chaotic diaphragm behavior is "noise", I think the "signal to noise ratio" of an electrostatic panel improves with listening distance, because the noise does not propagate as efficiently as the signal does.
For example, if the bias voltage is up a bit high on the SoundLabs (and/or if your humidity drops significantly), you can hear a waterfall-like sound up close to the diaphragm. This is an incoherent noise, and it does not propagate to the listening position. You can play music at very low volume, down around that waterfall noise floor when you listen with your ear up near the panel, but move back to the listening position all you hear is the music at very low level; the "waterfall" doesn't make it that far.