The media is not center left. Neoconservatise(Fox) and neoliberal(CNN/NYT) are different shades of right. We are watching different points of view of right wing politics argue. Wall street vs petrochemical companies vs SV, etc... all jostling for position. And all of these people with quite a bit of overlapping interests but slightly different focus i.e. foreign intervention but should the pentagon focus on M.E. destabilization or for African and S.A. lithium?
Remember: the thing about neoliberalism is that it ain't new, and it ain't liberal.
NYT follows the narrative supportive of the corporate agenda writ large, not because of an active choice about what it does write about, but because of the glaringly newsworthy things it ignores: like ongoing imperialism and terrorism committed by the US all over the world. This is true for most all major news orgs in the US.
Does supporting far right coups and writing context free puff pieces like this(constantly)[1] after a massive turnout for the very left wing party that the NYT railed against seem center left? Or, their uncritical push for the war in Iraq. Or their complete silence on the United State's role in Yemen etc... They write articles like this weekly, if that is not neoliberal then what is it?