That's not how western propaganda works. They do not all follow the exact same line of thinking every time. That's why it works. You let some variance exist, you create a self-reinforcing system in which no one consciously thinks they are lying or obfuscating, but all stick to certain parameters. Its a deluge, not a trickle of approved information. Like with Assange they eventually started saying "hey this is bad, don't do this", but after they either stayed silent, hide the importance of his revelations, or did the damage to him themselves.
The machine does not need them to be in lock-step, in fact that HURTS the propaganda model. Snopes reinforces the NYT line by treating objective journalism as possible let alone the norm. It does not have to have the same prescriptions as NYT to do that. Also Zionists get mad at everything