There is no "soundstage" below about 80-120Hz.
Real stoundstage is a combination of monaural clues, so not really impacted by phase-shift except perhaps at speaker cross-over frequencies and perhaps room nodes, and differential timing, i.e. the time differential of the same signal between your two ears. Assuming the phase-shift between the two channels is roughly the same, then phase-shift due to amplification will not have a big impact on perceived real soundstage. Artificial sound-stage effects, can be caused by frequency filtering mainly through the mid-range, i.e. height effects, and distortions, noise, etc. that can give an impression of "space" that was not on the recording.
Real stoundstage is a combination of monaural clues, so not really impacted by phase-shift except perhaps at speaker cross-over frequencies and perhaps room nodes, and differential timing, i.e. the time differential of the same signal between your two ears. Assuming the phase-shift between the two channels is roughly the same, then phase-shift due to amplification will not have a big impact on perceived real soundstage. Artificial sound-stage effects, can be caused by frequency filtering mainly through the mid-range, i.e. height effects, and distortions, noise, etc. that can give an impression of "space" that was not on the recording.