Interesting indeed, thanks for the link.
Two comments on that new paper, otherwise a good read:
1) The term "productivity" in the title is misleading. Rankings are based on the number of articles published in selected journals by PhD alumni in the first few years after graduation. Big schools who churn out more graduates (Michigan, UT-Austin) will mechanically show up higher than smaller programs (Columbia, UBC). To me "productivity" is related to how many resources are used to get that outcome, and the paper doesn't adjust for that. They do report the number of grads who published at least 1 article for each subfield, but not the total number of graduates, so you can't really completely adjust.
2) Overall ranking is useless; to use it if you want to do an accounting PhD but don't know in what field would be a huge mistake. Even though they publish rankings for all topical areas (audit, tax, financial, etc) and methodologies (analytical, empirical/archival, experimental), the authors' main interest was really in some particular subfields (namely audit, tax and AIS). To get a larger sample size, they added to the usual top (e.g. "A" rated) journals (TAR, JAR, JAE, AOS) to include journals that publish more heavily in those areas, even though these journals are usually considered as "B" journals. Nothing wrong with that when it comes to subfield/topic rankings. However what this does is that the overall ranking is useless -- it includes some of the "A" journals (but not all -- many top financial accounting and/or analytical/theory faculty publish in papers like JofF, JFE, even JPE, Econometrica, Management Science..) and some "B" journals (but none in the most populated subfield -- financial accounting).
I guess what I'm trying to say is that the overall ranking favors schools whose programs are targeted to specific subfields that are overrepresented in the study (Arizona, UNC, Arizona State, Kent State), and penalizes programs with underrepresented subfields (financial accounting and analytical research), whose "A" outlets include non-accounting journals and whose "B" outlets were not included.