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Commentary can have such citations. Investigative journalism might have citable passages in part, but ultimately, a lot of journalism is itself a primary source. There's nothing to cite, beyond whatever attribution is given for e.g. quotes in the piece itself (which won't be some hyperlink you can go check). Journalists create the things that others cite. If they could produce what they need mainly by reading and citing, they wouldn't be journalists.
Think about the NYT example I gave above. How did someone discover that their list of COVID deaths had a murder victim in it? Easy: they read the list, noticed that the 6th person was in his twenties, remembered that COVID doesn't kill such people unless they're already dying of something else and stuck his name into Google. That surfaced another news report about the murder. This is basic fact checking but the NYT didn't do it. The data was too good to check, so they didn't.
If journalists can't check the claims they're making, they shouldn't make them. The fact that the NYT wanted to make 1000 factual claims on the front page doesn't suddenly mean they don't have to check them. It means they shouldn't pull that sort of stunt. The loss of trust is clearly deserved.