[Ibrîniðilpathânezel]

Is it possible that the "treasure" to which Celeborn referred is his realm? It was known that if the quest to destroy the Ring succeeded, Lothlorien would fade, diminish, and, as we know, ultimately be no more. Celeborn's "doom" may have been to return to his realm to oversee it until finally, its population would dwindle and depart, leaving him to depart as well (which we know he did, even if we don't know for certain where he went). His "treasure," the realm he had worked long and hard to build and guard from the ravages of the world, would be lost. Aragorn, on the other hand, was fated to return to his realm, which was growing. Hopefully, it would continue to grow and flourish, so that by the time the Doom of Men came to him at the end of his days, he would leave not an empty realm, but one full of hope and promise for a greater future -- his "treasure" remaining with him to the end.

No canonical support for this, of course, but perhaps it is a suitable interpretation.