Earlier quoted context omitted.
Why would you assume the headline wasn’t written in service of pushing an agenda? It can both be intended to get more clicks, and to push an agenda. In fact it’s reasonable to assume every headline is like this, since they must generally conform to the agendas of the publication and must be interesting. Headlines are generally written by editors, not the authors. However at this point, why does that change anything?…
Why would you believe that? Copy editors don't spend a lot of time on each headline. Publication style guides for headlines aren't particularly ideological. Copy editors aren't like reporters, who narrowly focus on a single subject - whoever wrote this headline probably writes hundreds of headlines for articles across a vast array of subjects. To me, having worked at a newspaper (not the NYT of course) and having see…
If the organization has an ideological position, they will reflect it. It doesn’t take some special deep thought to do so.
It seems like you are working hard to make the case that these headlines are somehow random, or that bias takes a lot of work to coordinate.
That’s implausible. They are a result of the organizational culture as much as any other writing they produce.