The X4000 can set different distance and sound level trims for its two subwoofer outputs. The NR929 can't.
Edited to add: the DSP has "dual mono" mode, which processes each speaker channel completely separately from the other, so you can take full advantage of the X4000's dual subwoofer outputs.
Audyssey and external DSPs can work fine together. You just have to decide if you want to use the DSP to process the audio before or after Audyssey does.
If you calibrate the DSP before Audyssey, the DSP can be used to minimize obnoxious peaks so that Audyssey otherwise would struggle with. If you calibrate the DSP after Audyssey, it might be able to fill in the peaks and valleys that Audyssey leaves behind.
Of course, you'll need an external spectrum analyzer to find out which procedure works best in your acoustic environment, perhaps either OmniMic or REW. See http://www.avsforum.com/t/1449924/simplified-rew-setup-and-use-usb-mic-hdmi-connection-including-measurement-techniques-and-how-to-interpret-graphs
Edited to add: the DSP has "dual mono" mode, which processes each speaker channel completely separately from the other, so you can take full advantage of the X4000's dual subwoofer outputs.
Audyssey and external DSPs can work fine together. You just have to decide if you want to use the DSP to process the audio before or after Audyssey does.
If you calibrate the DSP before Audyssey, the DSP can be used to minimize obnoxious peaks so that Audyssey otherwise would struggle with. If you calibrate the DSP after Audyssey, it might be able to fill in the peaks and valleys that Audyssey leaves behind.
Of course, you'll need an external spectrum analyzer to find out which procedure works best in your acoustic environment, perhaps either OmniMic or REW. See http://www.avsforum.com/t/1449924/simplified-rew-setup-and-use-usb-mic-hdmi-connection-including-measurement-techniques-and-how-to-interpret-graphs