The 2 sound variation were only available on the original Dimension D I believe. You actually get more sounds on the DC-2W. I have mine set up with a 2 to 1 'summing' box under my board, so I'm only using 1 input in on the DC-2W and the 2 stereo o/p's to my delay/reverb. It's been a while, but I think when I had it set using the 2 stereo I/p's that they stayed separate. In my case one I/p came from my SY-1 Synthesiser routing, and the other came from my 'normal' guitar drive routing. When going out to 2 amps, the synth sounds were on one side and the guitar sounds were on the other. I wanted both synth sounds and normal guitar sounds to go through to both amps.
These days I'm only using one amp, so both sounds go to that.