no known laws of physics forbid an electromagnetic field from passing through the event horizon any more than they forbid a gravitiational field from doing the same. This is merely a fallacy introduced by the geometric interpretation of GR, which presupposes that SR is correct. There is no evidence that SR is any better than LR, and the experiences from the GPS system indicate that LR handles the universe better than SR where the two differ.
Here's one example of how the geometric interpretation of GR is bogus. Put two objects in the same orbit around some large body, one a little behind the other. According to the geometric interpretation of GR, the orbit is the shortest path through space-time between the two objects, which is why there needs to be "no force" applied to either object to keep them in orbit. Now put a string between the two objects and keep it taut between them. Theoretically, the string should not affect the orbit of either object, as their relative positions remain constant. Since the string is taut, it should take the shortest line between the two objects. However, this line is not the same as the path of the orbit. One of these paths is the shortest line, and one of them isn't.