That doesn't look very representative of the results measured in-room (on-axis) in my experience. Here is a REW measurement at 1m microphone distance on-axis with the Jubilee K-402 horn while the loudspeaker is in a full room corner (i.e., nominally +12 dB bass response over half-space response):
The two dropouts in the amplitude response (82 Hz and 190 Hz) move when you move the microphone position: they are 1/4 wavelength cancellations corresponding to side wall bounce and floor bounce, respectively.
As you can see, the only real transfer function issue is the phase growth from the apparent 310 Hz 4th-order crossover filters embedded in the Klipsch-supplied DSP box with fixed DSP settings. Again, as you can see, all the phase growth is excess phase (i.e., all-pass of the crossover filters). The min-phase plot gives you an indication of what is possible if using crossover filters without the all-pass phase growth. You can certainly
hear the difference when that phase growth is removed via user-adjustable DSP crossover (in the link I just posted here, it is a Xilica XP series, and the HF K-402 horn is using TAD TD-4002 compression drivers instead).
Putting these loudspeakers in full corners really does require re-EQing the bass back to flat response (about -12 dB below70 Hz), because they pick up room gain easily (horn loading). When re-EQed back down to flat amplitude response, this further reduces any intermodulation distortion of the bass bins (because of the increased efficiency of room loading).
As with most "audiophile" listening reviews, I really can't understand (reading the English translation via Google Translate) what they are actually trying to say. The parts that I do understand are not at all aligned with what I'd say. The loudspeakers actually sound much better than described. The reviewer must have had an issue with the listening room/listening position(s) or dial-in of the loudspeakers. I didn't see room-specific acoustic or even dimension information in the review, or the placement of the loudspeakers and listening positions within that room...or even a picture. With loudspeakers of the caliber of these, little things like room acoustics matter...
Chris