Don't they already hate God? since they have been thrown into the bad side of Hades (that's why God put them there according to their free-choice) to await to be resurrected at the Great White Throne to be judged and sentenced to Hell for eternity. After all they want to be eternally separated by God so God gives them what they want. What this passage tells me is that they may not necessarily want the suffering but that they would prefer to have it than be with God in the New City and New Earth.