Yes, the main issue will be sorting out how to power a pair of dual op amps instead of one quad opamp.
In a CS-3, I expect than the main issue would be noise. The Burr Brown is very low noise for a JFET input opamp. Distortion in the OPAn134 series, used sensibly, is hardly measurable below about 10k. The only other issue could be instability caused by poor rail decoupling degrading the audio signal, but I suspect this probably isn't an issue here.
Of the generally used op-amps the NE5442 is considered to be the best from a distortion and noise performance view point, and for this sort of application I don't there is much more performance benefit to be gained by going for more exotic (ie expensive) specimens.
In the SD-1 (and TS808, TS9 etc) one half of the dual op amp is being used in a clipping circuit, the other half being used more convenetionally as an active tone control. I suspect the main difference in sound between opamps in this circuit is due to how the opamp performs in the clipping circuit. This probably doesn't have much relation to the opamps qualities as an audio part, so a suck it see approach is definitely worth it here.