The editors at the NYT are famous for being more 'active' than at smaller newspapers - instead of assigning beats and checking submissions they request specific pieces and plan narratives that encompass multiple pieces. It doesn't mean their output is dishonest or even necessarily misleading, but it certainly affects what stories get covered and how.
For that matter, one of the things I value about ProPublica is that their narrative-building is unusually open - they organize by topic instead of newspaper-style sections and publish meta pieces on how they choose and research their stories. When the topic is something like 'algorithmic bias', it's far more forthright to say "we went looking fo examples and here are some we found" than to run pieces in isolation and imply whatever company is under discussion is uniquely villainous.
There are things to object to about Facebook's move here, but I'm deeply frustrated by this idea that objective journalism is some relic of the pre-internet days. News of all sorts gets made for people, by people. Without recognizing that, we just get these bland calls for 'real journalism' that don't help us look at specifics like the dangers of conglomerates or the negative incentives of monetizing on views or clickouts.
Throwing in Murdoch and Fox News isn't helping your argument either. I'd put Murdoch up there as one of the key people who have actively sought to abuse journalism for political favour and personal gain. I just don't see how that is right.
BBC does include the occasional fun story of little real news value (ie the pet raccoon who got into the pot brownies) but this liberty is taken seriously. It never detracts from the real news articles.
It's the same for me with tagesschau.de and Deutschlandfunk.
This only exists in the minds of people who've never seen news and reporting get made.
These decisions are made every day by the editors-in-chief and publishers of large multinational news conglomerates, and this ultimately makes these positions very powerful. It's why Rupert Murdoch owns so many news/media properties and why people say the Fox news network is biased.