Peter,
In contrast, EGPWS, while requiring a manoeuvre, does not operate in conflict with ATC, because an aircraft responding to an EGPWS warning is already well below minimum altitude and therefore well out of airspace in which there are other controlled aircraft.
That might be stretching it a bit.
You can have EGPWS warnings when the aircraft is physically in the correct part of the sky. A good example is a that map shift on final approach can easily lead to an escape manoeuvre. We had a spate of this on one type I flew. Now, flying a go around from that point in the sky shouldn't (in theory) unduly tax ATC but at a busy multi runway international airport..... well, you get the picture.
Not that I disagree with the broad thrust of what you are saying.
pb