If the speaker is out of phase with the guitar, will it reduce acoustic feedback?
Only if you don't move. Even then it's unclear...
Your speaker will pump back & forth to output a sound. That sound will propagate through the air, at a speed determined by air density (sea level & average humidity, it will be about 1,000 ft/sec). If you have a single pitch (say 1kHz), you can figure out a spot at a single distance from the speaker where that sound wave is pushing/positive-polarity or pulling/negative-polarity. Get the right orientation positive/negative, and have a loud enough sound at the speaker, maybe it will shake the string and result in acoustic feedback.
But the magic distance depends on how fast sound moves through the air,
and how frequently the sound cycles through a complete positive/negative cycle. Put this together, and a 1kHz wave goes through a complete cycle in about 1 foot (+/- for air pressure, humidity and rounding error). So you might get feedback at 1kHz at 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, etc.
But the distances will be different for 500Hz: it goes through a complete cycle half-as-fast, so distances are twice as long. Feedback at 2 ft, 4 ft, 6 ft, 8 ft, etc.
Every other pitch has its own different wavelength for a single cycle. That means different magic distances to result in acoustic feedback. And we haven't even considered how sound bounces off of walls, floor, ceiling... Each reflected path between speaker and string/mic amounts to a different-length path, which might/might not be the correct phase to encourage acoustic feedback. And longer paths may be lower intensity wavefronts, not loud enough to push the string appreciably.
So orienting the amp's electrical phase one way or another doesn't make much sense if you're attempting to get an amp that does/doesn't feed back... unless you play only one pitch and stand in one spot.
