News sources such as the Washington post are not technically apostate, that is reserved for former JWs who speak out about the Watchtower in any negative way. But most JWs will react to anything negative said about the organization and believe they are lies propagated by apostates, even if it's a qualified news source.
You are correct that the word apostate, (which is not even found in the bible btw), has a powerful negative connotation. An apostate is considered a bitter, angry person who Hayes Jehovah and Who wants to steal the faith of believing Jehovah's Wittnesses. They are considered the lowest of the low, pond scrum. It's cult mind control at work, most JWs will shut down if they believe you might be apostate and not consider anything you have to say. That's why it's hard to get a believing JW to believe anything negative that is said about the Watchtower.
If I ever have a chance to talk to a JW again I would ask them why they are so afraid of what ex JWs have to say. If what they have is "The Truth", why are they so afraid to simply listen to an alternative point of view? Truth should stand up to scrutiny and in the age of the internet facts can be verified. A news source such as the Washington Post would not print something just on the word of an ex JW, they would make sure there was proof.