This pseudo-1st/3rd order crossover configuration is similar to using adjacent second-order crossovers so reverse tweeter connection polarity. I'd reverse the tweeter instead of the midwoofer because as frequency goes higher, absolute polarity shifts have less meaning in 3D space.

As an aside, a movement of 3/4" is equivalent to a 180o shift at 10kHz, so you can see what happens in the room. Movement of another 3/4" shifts phase another 180o, and another 3/4" does it again, and so on. Phase interference patterns between separate sound sources are densely spaced at high frequencies, which tend to balance the sound field. But in the overlap region between the midwoofer and tweeter, this configuration brings the two subsystems in close phase so that they sum well.

If you do not use the passive compensation components, then you will need to provide EQ at the preamp level. You'll need both top-octave and bottom octave compensation, and actually, this compensation spans a couple octaves at both ends. You'll want 10dB increase from 100Hz down and you'll also want 6dB/octave rise above 4kHz. These might be issues you'll address at the preamp level instead of padding either the tweeter or the midwoofer.