I took a course on historiography in college and it covered the Annales school developed by the French historians. I found it quite interesting, but after an extremely brief internet search it doesn't seem to be very popular these days. Is it just a case of ideas being subsumed into a different paradigm, or was there some fundamental flaw in that school of thought which led to its decline?
I don't know what you mean by "fall out of favour."
I still had to read Marc Bloch in grad school. The Linguistic Turn is certainly still a thing.
On the other hand I also had to read Ranke, and in my experience people consider Ranke pretty problematic. "Wie es eigentlich gewesen" was more a warning than a goal when I was in grad school.
The historical philosophy I was taught very much claims history represents the context it was written in, perhaps more than the period it hopes to represent, and the historian has to be political and active.
That's pretty Annales.
I was in the UCs. I don't know if the Ivys do that.
We read Gramsci too. The historian as revolutionary was definitely a thing.