It could be said, I guess, but they lacked the power they need to have, at least to my tastes.
But yes, Cox surely has something to do with this musical vision.
But checking another Araujo games and movies, I found out that it sounds always similar to LoS.
I don't know the order of events in time, but my guess is that Araujo built a personality in the film industry as a composer and MS approached him for the soundtrack of a game previous to LoS (I don't remember the name).
Araujo used his typical sound, MS liked it, and so when the time came to make CV: LoS they all decided to stick with what have worked in the past, also killing two birds with one stone for Cox, since he wanted to stay away from typical CV.
At least that's how I see it.