This question isn’t actually anything to do with quantum mechanics. One can already ask, for GR, can a gravity wave generated by a wiggling object that has alre

This question isn’t actually anything to do with quantum mechanics. One can already ask, for GR, can a gravity wave generated by a wiggling object that has already passed the event horizon propagate back out through the event horizon? The answer from gr is unambiguously no. Effectively, all complicated goings-on inside the black hole are washed out into just a couple parameters for an outside observer: total mass, total charge, total angular momentum. All the matter contained by the black hole does still make its gravitational effect felt on outside objects through these three parameters. This observation in fact is what inspired wheeler to ask his grad student bekenstein what then happens to the entropy of a cup of tea thrown into the black hole — how to reconcile with 2nd law of thermo. Which in turn was the start of the very long story of black hole thermodynamics.