They have valid sources so when they get something from the Associated Press, to them that is the truth. They are not required to make a full fledged announcement that they made a mistake.
Take any two people and look at the same picture. There is no telling what story either of you will see in it or relate from it. You each see your own truth from your own perspective.
When you have an argument with someone, you each see your own truth and can’t even imagine what the other is arguing about. You know you are right, thats the truth. The other knows that he is right and thats the truth. A third party who hears the issues might see some truth in both your stories and might not even know why you are arguing.
The paper publishes a picture of a Palestinian kid standing and crying in middle of a demolished area. You think propaganda and that’s the truth. To someone else (not in the know) they think “poor kid, what did the Israelis do to him?” and to them thats the truth. If that picture is shown to a Palestinian school, the kids believe the same thing and that’s their truth because that is their perspective. Show it to kids in an Israeli school and they think like you, propaganda and that’s their truth.
Because you are angered about their unfair bias against Israel you are making a general statement about their lack of publishing ethics. That is your perspective on the subject so therefor to you that is the truth. If you speak to a neighbor who is an avid Times fan he might have a different perspective and totally disagree with you, might even call you nuts and that would be his truth from his perspective.