This short blog by TONY ROSS-HELLAUER does a nice job of distinguishing between (i) “open pre-review” and (ii) “open final version commenting”, both of which are, unfortunately, lumped under the category of “post-publication peer review.” The blog includes references. To read more,click here.
As an aside, TRN notes that the journal Economics E-Journal allows both. It publishes submissions as working papers, with open review. Then, after a paper is accepted, it allows post-publication comment.