The example discussed in OP seems to fall in the category of low rigor/high popularity. I am not 100% on my history of psych research, but it seems to me that the stereotype threat was all the rage in the late 90s following the publication of Steele and Aronson (1995). OP study seems to follow a similar experimental setup as S&A with a new group of people (Asian-American women).
As far as meta-science is concerned, I think that it remains mostly a part of philosophy (as in epistemology) and the focus of a few (senior?) scholars in each field. There is really no space to publish meta-scientific papers that "shake up" the field and call out established researchers, as editors that publish those pieces could come under similar criticism for their work. I think that it is not an accident that the discussion of the replication crisis in psychology started from blog posts and other non-academic avenues and then found its way to more "established" publications in the field (again, if I remember the context of those conversations).
I really wish that the review process was open. It would be interesting to see the reviewers comments to this specific paper and how the editor decided to pick up and engage with them. All those conversations are usually locked up in some editorial management system and are seldom made public. I don't know if we can really have open science without having open peer reviews.