There should be no ground loop problems if multiple dedicated lines are all on the same 120V leg.
The classic ground loop is created by the AC safety ground. Or more specifically, interchassis leakage currents that are flowing through the AC safety ground.
The magnitude of the noise created by these leakage currents is a function of the impedance between the AC safety grounds of two or more components. The higher the impedance, the greater the magnitude of the noise.
The ideal condition is to have all of the components' AC safety grounds connected via the lowest possible impedance, such as plugging them all into the same outlet or outlet strip on a single AC line.
If you connect multiple components to multiple dedicated lines, the impedance between the components' AC safety grounds is dramatically increased because now they're connected via the long runs of AC wiring back to the service panel.