It seems a remix of FFIV's Fight II is coming in the next main scenario patch for EW (6.2), and fittingly involving the
Four Fiends and Golbez
no less, so that is at least occuring (it plays in the 6.2 patch trailer). But I don't see Soken going back and adjusting those dungeons, as it's not something that is commonly done (save for that adjustment he did to Pharos Sirius's BGM early on back in ARR and a change to the mid dungeon boss theme in ShB).

To say nothing of the literal SNES version of Fight 1 fittingly appearing as generic battle music within Bestways Burrow on the Moon, so that's already a thing too.