When it comes to your links, consider that media ranking the media is perhaps not the least-biased judgment. Outlets branding themselves as fact-checkers are often particularly egregious. Snopes, for example, can't even dispassionately and accurately rate stories that do not fit a woke worldview.
I once read a NYT "fact check" that was checking a trump quote. One of the quotes was "we've been fighting in the middle east for 17 years." They rated this statement False, flat-out. Why? The correction stated, "We've been fighting in afghanistan for 17 years, but afghanistan is not the middle east. We've been fighting in the middle east for 16 years."
It completely ignored the point of the statement to issue a False rating on a technicality. Any reasonable interpretation would not have done so.
This is an example of the accuracy of modern-day "fact-checking." It's basically made up.
Edit to clarify: you're making a statement, you should be able to provide direct proof.
Most sources claim the Guardian is mostly factually correct:
https://mediabiasfactcheck.com/the-guardian/ ( which is American-centric, so ignore the bullshit liberal and conservative arguments) says they're mostly factual with the `Failed Fact Checks` section including opinion pieces and reporting as per X (e.g. https://fullfact.org/education/barnardos-foster-care-coronav...) , and the fact check saying X's report is wrong, not that the Guardian are misrepresenting facts.
https://www.adfontesmedia.com/the-guardian-bias-and-reliabil... says they're very reliable.