Not sure I would trust high end newspapers either, in Germany we had a small scandal with Claas Relotius who received over a dozen awards for outstanding journalism. Most of his articles where more fiction than fact. The newspapers publishing his articles outright ignored any complaints by his victims and even the papers claiming to have "world class" fact checkers didn't bother to review the output of high profile authors. It seems that to journalists anything is fine as long as it captures the attention of their target audience.
First, fact-checkers don't just publish fact-checks. They also work behind the scenes at the "high end" newspapers that you mention.
Second, websites like Snopes originally appeared to fact-check things like chain emails, memes, and other rumors. Mainstream news sites now do this to some extent, but there's still not a 100% overlap.
Also, sometimes there just isn't a story to a fact-check. The reader just wants to see a check of all the facts in a political speech or a debate. A series of 100 bullet points is not a compelling article, but it might be a perfectly fine fact-check.
Why? What's the difference? Analysis of a political speech or debate is definitely the kind of thing I expect from newspapers or equivalent, and it's not like changing the name makes it easier to read.