Sounds like RFI (Radio Frequency Interference), but I've never heard of it being so bad. Old systems and carts used to have thick, heavy, aluminum shields to prevent RFI, but those have gotten thinner and less extensive over the last decade as countries relaxed the rules on RFI. The Myth carts all emit a certain amount of RFI, but it sounds like your console has little or no shielding to be affected so much. It's also possible the console is badly grounded, which makes shielding less effective.
EDIT: As an example that RFI isn't unusual for ANY electronics, when I move my Razer gaming mouse, I can hear a faint buzz on my pricey sound system hooked to my computer via TOSLINK (optical hook up).