Are you playing with single coils?
I tried the rig above and I do get the "noise" when using single coils, but not when playing my DiMarzio noiseless.
Do you have Kemper noise gate (not the stomp) activated? When I set it to zero I can hear some noise from single coils without playing too. When I turn it up, I can only hear it when notes ring out. This effect could maybe be increased by the rig settings (graphic eq, amp compressor, treble up...).