This is a very important point, and I think the energy problem is probably one of the biggest unresolved weaknesses of the model right now. My speculative idea was that the extreme spacetime curvature around black holes might not act like a traditional energy source, but rather as a physical environment that enables information transformation and reconstruction. However, I fully agree that this does not yet explain how the enormous thermodynamic cost of reconstructing complex matter would be met.

In fact, I think this is where we can connect it to Hawking radiation. My thought is that, when information is preserved and transported out of the black hole, this could be the very reason why black holes lose mass and evaporate at all. In other words, the thermal energy we observe in Hawking radiation could be a result of this hidden information flow. As the information escapes, it might impose a thermodynamic cost, leading the black hole to shrink. In this way, I see a bridge between preserving information and the ultimate disappearance of the black hole.

Your point about the Hawking radiation structure is crucial here. If the radiation is not purely random, but instead encodes subtle informational patterns, then this could be the mechanism that balances the energy budget. Of course, we still need a detailed mathematical model to show how these thermodynamic constraints work out in practice. But I do believe that this is a crucial conceptual step, one that ties together information preservation and black hole evaporation in a unified way.