Backwards wiring will instantly produce a 180° misalignment
Not really - a phase rotation of will offset the initial impulse in time.
If you are merely swapping the wires the initial impulse will still be time aligned... what you have changed is the polarity.
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FWIW, I have measured in-room speaker response many times and I have seen what is referred to as 'comb-filtering' when the path length between two speakers was different or reflections caused this. It's very easy to see when the path differences are increased/decreased and/or reflections are minimized.
Anyone who has been in a room with reflective boundaries and a single sound source and noticed that the nature of the sound changes as they move around has had a similar experience - which is to say everyone. Every reflection from every surface is a virtual sound source and they all interfere. Silly people are always trying to dumb down the reality of how waves propagate in rooms - it changes nothing and leads to a lot of false understandings.
Sound propagation is a 3d phenomena dammit! Below the Schroeder limit sound propagation FROM A SINGLE SOURCE in a room and the constructive and destructive interference patterns created by its reflection are like a series of bubbles that add and subtract from each other creating awesomely complex patterns as they bounce around - like this...
https://www.youtube.com/watch?v=cl2RKmgTMzk
Adding additional sound sources make the pattern even more complex... and that pattern is not a filter and it doesn't look like a comb and it aint helpful to pretend otherwise - it just makes everyone dumber.
