Both! Any current draw on a shared circuit, will cause a voltage drop, to one degree or another. The smaller the wire gauge and/or higher the current draw, the greater the voltage drop. Some noise from other devices, can still be transmitted through your panel's neutral and ground buss bar, which are shared by all branches. A dedicated circuit will help with the first issue, a good power purifier or regenerator, the second. Personally- installing a twisted, double run of 10 AWG Romex, to my listening room's outlets made a dramatic improvement. Already had my Stealth XXX.