... What would the DEQ allow me to do that I can't do with the DCX?
Short answer - Nothing, unless you purchase the extra cost option allowing you 6 channels of digital output on the DEQX, if you don't want to use their internal DtoA converters.
Long answer - Iff you add the aditional question "and how well?"
1. I've not heard the DEQX, but I assume the A/D and D/A converters as well as the ic opamps and powrersupplies used on the analog sections are better implemented. The Berhinger uses the JRC4580 opamp in its analog circuitry, and although 'competent', is certainly not 'audiophile approved".
I'm sure the DEQX analog circuitry is substantially better than the 1/10th the price Behringer, but all things are relative -
http://www.6moons.com/audioreviews/overkill/encore.html"Alas, the same does not hold true for its power supply, analog filter and output stage when inserted into a ne-plus- ultra chain. The DEQX's brilliant designer -- whom I handed Edgar Kramer's Blue Moon Award at the CES for his stock unit -- concurs without sighs. He's already considering an audiophile "cost-no-object" iteration for extreme applications like Overkill Audio's. That's why Derek Wilson bypasses the DEQX's internal DAC with his own external 4-channel unit with outboard power supply. That's why he left me with two DEQXs, one stock, one Overkill's modified version with massively beefed-up power supply. Depending on whom you ask, the power supply in active audio electronics accounts for 70-85% of the sound...."
2. The DEQX's FIR dsp filters are arguably preferable to those IIR filters used in the DCX2496 for the purpose of speaker correction. Above around 400hz, the phase coherence offered by a FIR filter can be audible.
In the realm of room correction, which best takes place in the below 300Hz, the phase coherence offered by a FIR filter is, to the best of my knowledge, not audible. The parametric equilization(s) used for room correction whether it be analog (Rives), FIR (DEQX) or IIR (Behringer) is not an issue of theoretical, aesthetic, or marketspeak 'better', but dependant on the quality and care of implementation.
FWIW