It seems here there’s lack of understanding of what an algorithm is at all in the first place.
Let’s see how Wikipedia defines the word Algorithm:
An algorithm is an effective method that can be expressed within a finite amount of space and time and in a well-defined formal languagefor calculating a function.
So, given the function we’re talking about is the one of sorting news and making them appear on people’s news feeds, the act of editing that you yourself mentioned in your writing is composed of a finite number of steps that can be described in a well-defined language (be it formal or not). Editing, therefore, is an algorithm.
You could argue that Facebook’s one is not a good one, or — as you wrote — that NBC’s one is better than Facebook’s, but in no way algorithms can be “the wrong way to go” as you put it, for then editing itself would be the wrong way to go.