I disagree about "the rig and the song go together." I'm not sure whether Jordan had that rig for the entire U.S. run, but he definitely did not on other legs of the tour where they played Octavarium. I'm watching the Santiago DVD right now, and he doesn't have it. While I think he did want to make a point of having that analog sound as much as possible on the tour, as far as I know, Jordan has never been a "purist" in the sense of feeling the "NEED" to have particular gear if something else can emulate the sound he is looking for, and he is always playing around with and helping develop new tech to do that.
As for the other stuff, like you said, it isn't that hard to pack a continuum and lap steel. But I don't think he would bother, honestly. The continuum is pretty much obsolete now that Jordan has used a few different apps with touchscreens to get the same effect. And as for the lap steel, I wouldn't be surprised if he choose to emulate that on the iPad as well, given that he has done so with string sections, and even a cello solo, and other specific instruments. Convincingly emulating a lap steel would be child's play for him now.
At the end of the day, I have no idea whether the band feels there is some impediment to playing the song. But I highly doubt that Jordan's gear is a factor. They've played it without all the gear several times before, and they could easily do it again.