speaker dude wrote, "I won't speak for @donavabdear, but I will speak for myself that the question is essentially irrelevant and is begging an answer. Phase corrected is essential for any working speaker design, time corrected looks much better on a marketing sheet than providing verifiable listener benefits. And yes, I have personally done the testing. Dynamic correctness, dynamic excitement seem to be implying the same thing. How long can you play, and what effects of any concerning dynamic compression. Horn loading / compression drivers is not the only way to achieve this of course. Horns provide, properly designed, constant directivity, but using a standard woofer/mif-woofer and a wave guide tweeter provides similar benefits without the side effects of vertical directivity lobing which can cause unpleasant reflections off vertical surfaces, likely one of the reasons why some people "don't like horns". I think we can agree that a real horn loaded speaker at 20Hz, even a tapped horn is rather enormous and outside the realistic realm for most people. To achieve true directivity at the frequency is just unrealistic and you are not going to avoid room modes. Velocity/position feedback eliminates power compression issues in subs, and cheap efficient amplification is plentiful. Just put in a bunch of power subs and be done with it."
I respectfully beg to differ. My DIY speaker system uses Bill Fitzmaurice designed HT Tuba 25 Hz quarter wave folded corner horns. The output at 25 HZ in my DEQX equalized system is identical to the output at the 1 kHz reference tone. The output at 20 HZ is still audible and musically useful. They are 18 cubic feet each but wearing a nice coat of Blonde Burmese teak veneer with solid teak and brass trim and tucked away in the corners where they need to be they don't seem particularly obtrusive to me.
Including the horn path in the bass bin plus the distance out to the midrange horn which is well out into the room where it can image better makes the separation between the acoustic centers and the woofer and the AER BD3 midrange drivers over 16 feet. The time correction provided by the DEQX DSP makes the acoustic centers of those drivers sound as though they are within 3 mm (less than 1/8 inch) of each other. That is not in any way irrelevant. If you have ever heard properly executed horn deep bass I think you would understand the difference between that and using a bunch of power subs and perhaps even learn what I mean by dynamic excitement. I notice that Genelecs best subwoofer is already 6 dB down at 27 HZ.
My system is active using six channels of amplification. Contrary to donavabdears contention that audiophiles who don't use a bunch of little active cones and domes in a box are confused I respectfully beg to differ with him also.