I'm really sorry if I sound Ms Nasty here, as it is not my intent, but what does a FFXI song have to do with the Ivalice-themed raid? Ivalice is the world of FFXII and Tactics, not FFXI (FFXI's world is called Vana'diel). So I doubt the Ivalice-themed raid will feature non-Ivalice themed music included with it, because why would it? If anything you'd more likely get FFXII/Tactics etc themed music there than FFXI.

Also, a variation of Distant Worlds already exists in FFXIV, the instrumental version Recollection was used for the second FFXI crossover event, so that would be more likely to be added to the Orchestrion than the actual vocal version. Having said that though, a while ago SE did admit that there is potential for Orchestrion rolls of music from other FF games to be added for purchase on the Mogstation in the future so Distant Worlds is a possibility still:

Quote Originally Posted by Cherzy
Adding songs from other FINAL FANTASY games
It's difficult for us to add songs that are not used in FFXIV, but it might be possible to add these in as optional items.
But even if it does come to the game, I doubt you will see it for a long time yet.