Despite the important but smacking of "gotcha"-istic efforts by individuals to reveal the practices of predatory journals, a greater and more fundamental threat looms in the shadows of social science research (though there are certainly multiple problems that researchers need to address). To get straight to the point, according to one view we may not be able to trust correlation coefficients derived from samples smaller than 250.
One would be hard-pressed to find a test more relied upon to infer the presence, direction, and strength of association between to measures in social science than the trusted correlation coefficient. However, one would not be hard pressed to find peer-reviewed reports making strong claims about the relation between two constructs based on correlation coefficients calculated from data with fewer than 250 cases.
Given the current replication crisis facing social sciences (see the second link above), how should we view this report regarding the stabilization of correlation coefficients only at large samples (at least by some social science field standards)? Is it another crack in the wall of peer-reviewed social science research, or is it a relatively trivial matter that has been overblown in its presentation?
As there is not likely a single correct answer to this question I hope instead to generate a thread where resources about this question can be shared, thoughtfully considered, and debated (politely and respectfully of course).