"Unbiased" or "factual" does not mean "we take both sides' opinions and put them next to each other without comment" - that's what the BBC does and it gives extremist, dangerous viewpoints far more legitimacy than they're worth. The fact that coronavirus got caught up in a bunch of political nonsense does not change that.
That's precisely what unbiased and factual means. You're actually arguing that the media should be opinionated, which is a perfectly reasonable viewpoint, but please don't try to destroy the meaning of words to make disputing your preference impossible.
Edit: I should clarify that I meant "unbiased and factual" together. Of course it's entirely possible to be both biased and factual, by choosing which facts to include.
You investigate specific claims. For example, take the claim that Covid-19 is "no worse than the flu". You could report on people making this claim, and state that others disagree. That can be considered an example of unbiased reporting, but it's nevertheless problematic as it may leave a reader with the impression that all reported-on claims are equally valid.
Choice and presentation of opinions you report on is not a neutral acitvity.
edit: I was distracted when I wrote my answer, so I missed some context. Was your question about differences in tone pointed out in a sibling comment[1]? Without having read the articles in question, at first glace, I'd considere this an example of journalistic bias.
> take the claim that Covid-19 is "no worse than the flu"
That's an interesting example of how difficult unbiased fact checking is.
To start with, there are many interpretations of the statement. Does worse mean death rate, severity of symptoms, infectiousness, or something else? What strain of the flu, and in which country? Which paper or anecdote does the fact checker cite? Because of differences like these, two fact checkers will give different ratings for the same statement.
Journalists aren't experts and shouldn't act like they are by presenting a single perspective as if it were unchallenged fact, or by injecting their own unqualified opinions. Any issue complex enough to be a matter for serious debate isn't going to be solved in an article.
They can be unbiased and report what the leading figures have said, like a camera at a televised debate, or they can be opinionated and add their voice to one of the camps, but they can't (honestly) do both.
Not everything can be fact checked in the first place and if it can, who fact checks the fact checkers? There are numerous examples of fact checking websites being factually wrong.