If they're going to write an article like that and get the details wrong, it'd be better not to write it at all. They didn't just remove some filler. They aired it in two different ways, once in the ads for the interview and a second time when they aired the interview, and one had only the first half where the other had only the second half, creating the illusion that the same question was answered in two totally different ways.
And to her credit, I don't think that's a meaningless sentence. It's not super well phrased, but her whole answer to the question should have been something like "I know Netanyahu is listening because a lot of Israel's actions have changed in response to our requests. And because we know he's listening to us, that makes it even more important that we continue to insist that the war needs to end." With only the first half, her answer looks like "yeah, a bunch of this war is because we told him to." With only the second half, it looks like her answer is "we'll keep insisting even if he doesn't listen." You need the whole thing to make a semi-coherent answer to the question, and 60 minutes bungled the crap out of it.