Wolram, I believe that Hawking conceded defeat on this point (information conservation) some time ago.
Steve Hsu's conclusionsClassical thermodynamics states as its second principle that entropy is an always increasing function in a closed system—and the universe is an assumed closed system.
!!!! A NEW DEFINITION OF THE CLOSED SYSTEM (UNIVERSE) !!!!If information remains in the baby universe, the parent universe appears to evolve from a pure to mixed state, but the evolution of parent and baby together is unitary. There are no dire consequences, such as energy non-conservation.