First, what is White saying is 'not dependent' upon faith?
Answer: The benefits of the atonement.
But if that's the case, then it would seem to me that Hunt's accusation is right on target. For if the benefit of the atonement is independent of faith, then salvation is independent of faith, and thus Hunt's perception of Calvinism as a theology whereby 'Christ's death saves without faith,' logically holds. It seems to me that White has contradicted himself. Feel free to jump in and help me understand why you do, or do not, feel that White has contradicted himself.