The classic book “The Elements of Journalism” devoted a subchapter to its “Lost Meaning.”
A quick thread.
So, first thing to note is, journalistic objectivity is a style with a historical context.

From the book:
“In this original understanding of objectivity, neutrality is not a fundamental principle of journalism.”

The second half of that quote is important: Neutrality is a voice to gain readers’ trust that you have heard and considered all sides.
Ultimately, the responsibility is verification.
“The neutral voice, without the discipline of verification, is veneer atop something hollow.“

The upshot is: Objectivity is less a quality than a discipline and style with a history and context.
Notice he didn't say provable falsehoods.
<End thread>