Asylum handles more volume of oil because of the stronger cover (Asylum 2 parts solid, 1 part pearl and dull finish), compared to the HyWire(2 parts pearl, 1 part solid and polished).
For me, the HyWire is closer to my Deranged, and the Asylum is closer to the Disturbed.
I have also changed surfaces on both balls, and the HyWire just seems to roll best polished, and the Asylum, dull. Just my experiences with these balls.