If it is the article I remember, one example was showing that the study could be replicated if done at the same university (which would be years after the first study), but the criticism was that it couldn't be replicated at a different university.

So the criticism of the criticism seems to be quite overstated. If the study can only be replicated at a single university (or even all in a general area), it means that we need to be very careful in generalizing the results. So to the extent that people take a study of one very specific group and generalize to an entire culture (or worse, to all humans), the criticism sticks.

Back when I was getting my psychology degree, there was a joke that 90% of the findings in psychology can only be generalized to broke American college students who are willing to be lab rats for beer money. While that overstates the problem, there is still a lot of truth in it.