 Perhaps the physically most conservative—and correlatively the philosophically least thrilling—proposal is to deny the implicit assumption that during black-hole evaporation the deviations of Hawking radiation from exact thermality are negligible. Thus the problem prima facie does not ever arise, because all the quantum information does manage to escape in those non-thermal correlations. This proposal faces the serious challenge of showing that such non-thermal corrections are rich and large enough to carry away all possible information encoded in all possible bodies falling into black holes. Hawking et al. (2016) argue, in this vein, that black holes do indeed have hair, violating the No Hair theorems, which makes possible the maintenance of correlations between early and late time Hawking radiation in such a way as to preserve information. Dvali (2015) argues that exact thermality of Hawking radiation, in conjunction with other well established results about black hole thermodynamics and quantum field theory on curved spacetime, imply that the black-hole entropy would be infinite; thus, he concludes, there must be large deviations from thermality. Any such argument, note, will have to conclude that the deviations from perfect thermality are large—otherwise there would be no hope of encoding enough information to record recovery data about every physical system that fell into the black hole before evaporation. Again, the particular arguments in favor of this sort of proposal are too recent for real consensus one way or another to have been achieved. 