I definitely am NOT a genius about these things! And I can't remember what I might have said about this before but I'll try again...
Mine seem to be silent although there was a time when I realized the tuner was still seeing the bass even though I wasn't hearing it. So it can "leak" a bit but hopefully not enough to cause anybody problems.
I believe what is supposed to happen here is that - although the preamps are still powered and engaged in "standby" mode, the output of the instrument is simply shorted to ground. Shorting the output (or technically shorting the input of whatever you are plugged into) is a silent way to mute the audio. But it depends on several things to really be silent, including (I think) the cable, cable length, how solid the ground is to pin-1 on both ends, possibly the input impedance of the amp, even the "ground path" through the instrument's internal ribbon wire and the wires leading to the p/u selector switch. If you were to short tip-to-sleeve at the input jack of your amp it would definitely mute the output from your speakers. But since grounding that amp input is done through a rather long path, it's not always perfect.
There I go again pretending to know what I'm talking about.

I THINK that's the story but others may have a better explanation. I use rather short 5-pin cables so that may be why it's quiet for me. I've also installed a true mute switches on my REDDI boxes so I can tune without passing any signal down the line.
Jimmy J
Edit: OK, at least I didn't contradict myself in the older thread. HA!