Re: Nothing propagates across the event horizon.
The statement "Nothing propagates across the event horizon" is not true; although it is true that for a distant observer nothing is seen to cross the event horizon, ... things just approach ever closer and become more and more red-shifted. But from the perspective of an in-falling object (photon, rock, whatever), crossing the event horizon is easy enough.
Perhaps it is more-or-less implicit from your description that you mean "propagate *outwards* across the event horizon", but I think it worth the clarification.