FYI, EQs will distort audio. Especially if the adjustments are large. Your average EQ will introduce phase shifts to the various frequencies that make up a sound. Linear-phase EQs don't phase shift but they also introduce pre-ringing and post-ringing effects.
Analog distortion of signals also affects the phase. A digital filter might or might not compensate for it, but it's not always bad. Also, human ears tend to be more sensitive to amplitude than to the phase. Especially if the same filter is applied on both channels, which leaves the phase difference unchanged.
For example, phase shifting can change the amplitude of a sound. Analog hardware is especially sensitive to changes in amplitude so you might be introducing distortion just by shifting phase.