The phase issue was documented with Amir's own measurement of the stock crossover where the woofer output is out of phase with the tweeter output, thus interfering with the response. Look at how the tweeter only graph line raises above the full speaker frequency response line. That alone is an issue that makes things sound fuzzy, blurry, congested, however you want to call it. Skirt the issue all you want, but that's a proper concern in design.
Try setting your subs even just 90° out of phase and see how uncomfortable it sounds. Then try rolling it even further to where it actually pulls down your frequency response and creates a dip. That would just be at bass frequencies. These speakers do that from 4khz all the way up to 10kh thus making all the treble sound cringy, dull and sharp at the same time. Even better to try, if your speakers have easy push on connectors to the drivers, try setting your tweeter wiring backwards just for fun.

