It all seems logical to me: if (3) and (4) didn't happen (because the CIA knew it was the source of the material in the book), then it would have sent a strong

It all seems logical to me: if (3) and (4) didn't happen (because the CIA knew it was the source of the material in the book), then it would have sent a strong signal to the Soviets confirming that the CIA was behind the propaganda. That may have bought extra KGB attention to bear on in-country CIA assets responsible for spreading it. The corollary being that a CIA reaction of (3) and (4) further bolsters the apparent legitimacy of the propaganda. And, of course, what spy agency wouldn't want (4)?