The Right-leaning has a relevant influence on media because some of its supporters are affluent and it is in their financial interest. Ex: Bezos bought a newspaper. The same is far less often the case for the Left-leaning. There are few "land and factory owners" that are part of a pro-worker movement, simply because it would hurt them (or at least that's what they truly believe).

Accordingly, the average media experienced a shift to the right, but not to the left. To be neutral, one thus has to look left of the average of what the media report.