The Piraeus Lion (the likely alternate) - God of War Ghost of Sparta Soundtrack

Due to the fact that this fight is timed, it is impossible to say for sure that this isn't a completely different version of the song. I record straight from the game(I don't extract game files). But by judging from the portion of music that can be heard, I'd say it's probably an alternate starting point.

The Piraeus Lion (boss version):

God of War Ghost of Sparta Complete In-Game Soundtrack:

Soundtrack