You’re blaming them for malice in what should be fairly attributed to the stupidity and laziness of the general population, though. If you seriously think they should be writing their headlines with the idea of summarizing the Lebanon/Israel situation in one sentence, you’re either an absolutely incredible writier, not their target audience or a straw man made up to illustrate my disagreement with your point.
Including a reference to the statements made by israel in the headline of an article about what israel has said is not unreasonable, regardless of your personal opinion about how that might reflect their bias. It stands that the NYT, of all those headlines, is the only one that doesn’t openly bias themselves towards israel by directly quoting the IDF, and even reflects reasonable skepticism on the statements made by the IDF. If you don’t understand that, it’s not really their fault.