Heh... that was exactly the take on the Turk's Theme I was thinking of that at least sounded like it was in the same music genre as the OG one. The amusing bit is that Takeharu Ishimoto, the composer of Crisis Core, has done like... three versions of the Turk's Theme
(Before Crisis, Last Order, Crisis Core) to Umetsu's one. And while they all have their similarities (bass, piano/strings filler, guitar melody, drum kit), they got less and less rock-like and more and more jazz-like as new varriations were come up with. Crisis Core was the version closest to the OG in style.