If you want to get a better idea what's going on, then at some point, after getting completely used to the way things are now . . . you need to put the connections back the way they were originally, and leave it that way long enough to form some new impressions all over again. The perceived change in sound should then of course be the opposite of what you first experienced. This is an important step - it will help rule out side-effects from the dismantling (i.e. tightening up the speaker drivers, refreshing connections), as well as confirm again that you're hearing what you think you're hearing.
But assuming that the sonic effects reverse as predicted . . . I didn't read that you reversed the speaker cables themselves at the same time? While I don't think that the absolute phase of small loudspeakers such as yours will make much difference per se, keep in mind that if you invert absolute phase at the speaker, you're changing the left/right speakers' relative phase in relation to the subwoofer, which I would expect to be audible. So it's important to establish the effects of simply reversing the phase of (both) your main speakers, independently of reversing the phase of the individual driver connections.
Okay, so assuming that you're noticing a difference in the sound when you reverse the individual driver leads, but also reverse the speaker cables themselves (to preserve absolute phase) . . . then the most likely explanation is that the loudspeakers' drivers/cabinet and crossover interact with each other differently when the phase is inverted . . .
. . . and a couple of things come to mind here. First, this speaker uses a 36dB/octave 2-way network? That means a minimum of six capacitors and six inductors, and that's quite a bit to fit into that small cabinet . . . so some of the inductors are probably metal-core, and maybe one or two of the caps is an electrolytic? So it's possible that the bass portion of the crossover has a significant nonlinear transfer function, and the woofer/cabinet together definately have a nonlinear transfer function. So when you invert the phase between the drivers and crossover, you will be altering how these two transfer functions combine with each other, which may have some subtle effects on the transition-band behavior.
But finally (moving on to my favorite theoretical speculation), even assuming the crossovers' components themseves are pretty much ideal, all the inductors are going to be in fairly physically close each other, and to the woofer motor structure as well. I can also confirm from experience that subtle changes in the orientation and layout of crossover inductors can measurably affect the response of the crossover, and the woofer motor can produce a significant alternating magnetic field as a result of its modulation. So I'm guessing that in your case, where you have strong speaker magnets and a complex crossover, all stuck together in a small loudspeaker, that by reversing the driver lead phasing you're changing the electromagnetic interaction between all of thse components.
But assuming that the sonic effects reverse as predicted . . . I didn't read that you reversed the speaker cables themselves at the same time? While I don't think that the absolute phase of small loudspeakers such as yours will make much difference per se, keep in mind that if you invert absolute phase at the speaker, you're changing the left/right speakers' relative phase in relation to the subwoofer, which I would expect to be audible. So it's important to establish the effects of simply reversing the phase of (both) your main speakers, independently of reversing the phase of the individual driver connections.
Okay, so assuming that you're noticing a difference in the sound when you reverse the individual driver leads, but also reverse the speaker cables themselves (to preserve absolute phase) . . . then the most likely explanation is that the loudspeakers' drivers/cabinet and crossover interact with each other differently when the phase is inverted . . .
. . . and a couple of things come to mind here. First, this speaker uses a 36dB/octave 2-way network? That means a minimum of six capacitors and six inductors, and that's quite a bit to fit into that small cabinet . . . so some of the inductors are probably metal-core, and maybe one or two of the caps is an electrolytic? So it's possible that the bass portion of the crossover has a significant nonlinear transfer function, and the woofer/cabinet together definately have a nonlinear transfer function. So when you invert the phase between the drivers and crossover, you will be altering how these two transfer functions combine with each other, which may have some subtle effects on the transition-band behavior.
But finally (moving on to my favorite theoretical speculation), even assuming the crossovers' components themseves are pretty much ideal, all the inductors are going to be in fairly physically close each other, and to the woofer motor structure as well. I can also confirm from experience that subtle changes in the orientation and layout of crossover inductors can measurably affect the response of the crossover, and the woofer motor can produce a significant alternating magnetic field as a result of its modulation. So I'm guessing that in your case, where you have strong speaker magnets and a complex crossover, all stuck together in a small loudspeaker, that by reversing the driver lead phasing you're changing the electromagnetic interaction between all of thse components.