ketchup, I would suspect a lot of the benefit is from heavier AWG. There is no point in denying that is a major contributor to the success of Schroeder Method.
However, the use of a second distinct ground may also play into the change sonically. The method is so fresh that there are more questions unanswered than answered.
While use of a splitter or Y-cable is obviously not advantageous in comparison to a manufactured double cable, the advantage is in potentially mixing ICs of different brand/models to obtain the "flavor" of sound one wishes. Some users have already started to mix and match, and it seems with excellent results.
And, as in speaker cabling, within reason if someone makes a lower AWG speaker cable, that, too can be paired, and what will the result be then? It sounds insane, but that was the thought that crossed my mind why I paired two interconnects in the first place. Knowing what doubting speaker cables does for the sound, I wondered what would happen if two ICs were paired, obviously doubling the conductor material. That is the kind of exploration I love in audio. :)