My Kemper Stage (which is awesome) produces terrible noise when powered off both at home (into line 6 powercab112 plus) and at church going out to house. My toaster does not have that issue. Power off on the toaster=total silence.
Nothing in between the kemper and the amp - no pedals attached to the kemper - nothing. At home I use the left main instrument out and at church the left main xlr out. If I actually unplug, then the sound stops, but plugged in with power off - hiss is there. Strangely, the hiss gets louder and louder after it is powered off - like a feedback loop.
For now, I just try to remember to unplug the power after I power off the unit. But its a bad situation because if I power off the unit and forget, then it starts off quiet, and I walk off stage and it then it begins its increasing hissing issue.
See video clip at link which shows power off, short delay, then hissing starts, then it increases, then I pull power on the stage and it immediately stops:
https://photos.app.goo.gl/xPAk2L1FExVbEM5QA
NOTE: It does not do this every single time. I'd say something like 60% of the time. Not really sure since I am now in the habit of pulling the power plug after power off - for obvious reasons.