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Currid won't be removing any safety earthing from my suggestion. The ground loop needs to be removed - when it's powered via a laptop usb connection there's no ground connection and is safe. If the usb port on the MiniDSP is a shielded USB port then it means that there will be an uneccessary ground connection if it's used via a grounded USB plug (which might be causing the ground loop). Additionally, if it's plugged in via the PSU there shouldn't be a ground connection but if there's a ground hum then something funky is going on there. It could be a faulty PSU. By lifting the ground on a power connection connected to the usb port of the MiniDSP they're not creating anything that's any less safe than plugging it into a laptop.
Removing safety earthing from your electronic equipment is a bad and potentially dangerous solution. The PSU for the MiniDSP won't be grounding it, there's only 5v + - coming from the PSU. It's the phono cable shield.