I just explained why the latency in the DSP in a sealed subwoofer is different than a ported subwoofer. Below is the actual latency in a miniDSP 2x4 with various crossover filters. A high pass filter also adds latency in the DSP (which is only used in a ported subwoofer).
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I specifically said, "without the means to delay the mains" which is what happens in most 2 channel systems. When I do the shows at AXPONA and RMAF with JTR Speakers, nobody else uses any delay on the mains when demoing a 2 channel system with subwoofers. We are the only ones that I've seen with correct time and phase alignment. When I did did all the measurements and EQ for a subwoofer GTG with Jeff Permanian and Mark Seaton present, the main speakers and the subwoofer locations stayed the same. However, the distance setting required was the least with sealed subwoofers, longer with ported subwoofers, and the greatest with horn subwoofers.
You are switching subjects. Once aligned in time at the crossover frequency, a sealed subwoofer has no time-domain advantage - which is why anyone with the capability to time, phase, and polarity align the subwoofer to the main speaker has other reasons for choosing between sealed and ported subwoofers.
However, the issue that I brought up is that the DSP latency is different for different subwoofer alignments due to the different filters required. If one does loopback measurements of miniDSP, Behringer DCX2496, dbx PA2, Lab Gruppen LM44, QSC DSP-30, etc., they will realize how the latency changes depending on filters being used.
I've measured the following JTR Speakers subwoofers: Captivator 4000ULF, Captivator 2400, Captivator 118HT, Captivator S2, Captivator S1, Orbit Shifter LFU. The S1 and S2 have the least amount of latency in the SpeakerPower amplifier. It isn't something that can be called a "myth". It is real and it affects ones ability to integrate a subwoofer into a 2 channel system
with no means of delay for the mains.