If you are worried, the lee collet die is a fantastic sizing die. It squeezes onto a floating mandrel that will always be centered.
But no, .004 is not too much. The issues will be work hardened necks, internal scratches and inconsistent tension due to brass thickness.
But no, .004 is not too much. The issues will be work hardened necks, internal scratches and inconsistent tension due to brass thickness.