For fans of the Soul Series - was there a Mitsurugi theme?

Yes, I know I post a lot of Soul related threads.

I was just wandering if anyone who played the games noticed that even though the music itself is different, all of the stages that in someway relate to Mitsurugi have the same piece of music contained in them...

YouTube - ‪Soul Edge/Soul Blade - The Wind and the Clouds‬‏ Go to 00:50 to 01:13

YouTube - ‪Soul Calibur Original Soundtrack - Duelists (Mitsurugi Theme)‬‏ Go to 00:38 to 01:00

YouTube - ‪Soul Calibur II- Brave Sword Braver Soul‬‏ Go to 00:51 01:17

YouTube - ‪Soul Calibur 3 - 008 - The Blade Seeker‬‏ Go to 01:47 to 02:08

I'll have to check if there's one on SCIV, but going back to Soul Blade - it's even in both of his endings; YouTube - ‪SoulEdge / Blade OST 26 - No Living No Mortality (Mitsurugi Ending 1)‬‏

So were Namco trying to create some sort of theme for the character?