The DEQX processor in the XdA and the DCX2496 work quite a bit differently.
The DCX allows you to have standard HP and LP filter types for crossover functions which have the normal associated phase shifts and problems. The DCX also uses IIR filters for all of the parametric EQ which are not linear phase. With the DCX, you adjust your crossover filters, manually adjust the very small number of parametric EQ points available to get flat driver response, then play with the delays between channels to get the drivers in phase at the crossover frequencies. The end result is a system that still has fairly flat response, ok power response, and has the same nonlinear phase response that most speakers have with moderate overall group delay (1-4msec).
The XdA allows you to use standard HP and LP filter types or very high slope linear phase FIR filters for the crossover functions. You take impulse response measurements of the drivers in the system. The DEQX software takes these impulse responses, takes your selected crossover frequencies, slopes, etc and calculates the required impulse response correction filters for each driver to make the entire system have perfectly flat frequency response and phase response, but with more group delay (5-15msec). The total amount of allowable latency (group delay) is an adjustable parameter during the filter creation. The higher this value, the lower in frequency the resulting system will be linear phase. This is just the laws of physics at work here. Once the filter set is finished, you can add a number of parametric IIR filters to tweak the tonality of the speaker however you want.
This is a very short overview of the comparison between the two. Virtually all of the commercially available DSP boxes for speaker processing use the operational paradigm that the DCX uses, because it is much easier to write the software for (which is already supplied by the DSP vendor) and it is the paradigm that most people are used to, since it is really a glorified analog EQ/crossover that just happens to be digital.