That's exactly right. Specifically, that fan-made video used "One Winged Angel" from Final Fantasy VII.
By the one and only S R Wilson
He made the SASUKE 25 version of that concept. IIRC a Japanese fan made the SASUKE 18 version.
Getting back on topic, I'm so happy that at last we have a nice, full version of the original "Yagyu-Gaiden"! It was very unexpected, but it's a good thing that I regularly check the activity of my YouTube subscriptions (one of them had liked the video a bit earlier)!
DEAD THREAD BUMP! And for a good reason! I watched the final of Fort Boyard: Ultimate Challenge (teen version of Fort Boyard) and spotted a hidden gem at the end (45:54). Can you figure out what it sounds like? Clue: Used in SASUKE a LOT!