Since the 'cultural turn' of the 1970s Rankeian empiricism has been pretty much abandoned in the historical profession
Pure, hard-nosed Rankean empiricism had largely been abandoned long before then: in the 60s and 70s most historians (even the right-wingers) were writing from a basically materialist stance, which is not actually compatible. But there was a shift towards a lower-key and less dogmatic form of empiricism in the 1990s following the death of Marxism and the Tower of Babel-esque collapse of the post-structuralist project, and most historical research (at least in the Old World) basically follows that course, even if no one
quite says it out loud.