News can be checked in lots of ways. If there's a factual claim about some public data, check it. If someone is assigned a job title, is that actually their job title? Does it contain internal contradictions? Does it make claims that contradict knowledge you already have, or things that were previously claimed? All those types of checks are ones I've done before to news stories and found they failed them.
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.