War is only the aspect of War in the Darksiders-verse.
Kratos/Ares were his analogues in the GoW-verse as War doesn't exist in the GoW-verse.
They both are the aspect of War in their own respective verses, and neither can be claimed as being above the other as far as that standing goes.
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"To all visitors from Transylvania looking for the head of Voivode Dracula: Yes, we have it. Yes, he's dead. No, you cannot see it. No, he will not return and invade you again. It has been over thirty years, please stop pestering us."
War got range advantage and his "Devil Trigger" seems to be greater than Kratos' (even if it lacks the fiery tempest). War wins but not without a fight for his life.