Thanks! I actually think that they translated into more than just Randland, especially because the translation seems to have been rather permanent (at least until the Book is opened). If they were like the Finns then they would have used Portals, not translated pieces of their own world. And why sacrifice so much just to go to Randland? I think that the Ogier basically made (or had the Finns make) their world intersect with multiple "real" worlds that were threatened by channeling's effect on the Pattern. The Finns may or may not be able to channel (I forget if we have any confirmation on this), but it is certainly possible to channel in their worlds. Whether the same is true for most worlds now is complete speculation, but we know that it is NOT true of the Ogier world. Further, we have evidence throughout the books that the environment of the stedding is a force of good for nature, souls, and against the powers of the Shadow. Thus, the only natural conditions in which channelling is impossible are also the places closest to something like a Creator's original design (an anti-Blight). All this suggests to me that some day channelling will have to stop for the Pattern to fully heal. My guess is that when the Book of Translation is opened that all the pieces of the Ogier world scattered across dimensions like our own will reassemble into their original unified (parallel) world. But this can't or shouldn't happen until whatever they were brought to other worlds in order to save (I think it is channelling related) has been resolved. Otherwise their millennia of sacrifice will have been in vain.

Another possibility is that the Finns blundered terribly and that different worlds were faced with different crises. Our world was threatened by the possibility of channelling so the Finns arranged a bargain in which some Ogier would be translated along with parts of their world (in which channelling is impossible) into our dimension until things could be resolved. Perhaps in another world there was too much light leaking through the cracks made by the portal stones so the Finns translated in bits of a world of darkness. Or maybe TAR and reality began to slide into each other too readily so a world in which TAR access was impossible was translated in. A kind of cascade of unforeseen consequences leading to ever greater and more problematic engineering fixes. The Finns realize this now, but don't have the courage or the desire to really clear the rubble, especially now that the Dark One is waiting behind the ill conceived dam.