The author has a long-standing beef with the statistically insignificant and irreproducible claims of the subject Langer. See for example this latest paper: https://stat.columbia.edu/~gelman/research/unpublished/heali...
The other question I have is that the paper you linked gives makes some very clear, "no gray area" arguments about why some T-values that Langer calculated for one of her papers is just flat out wrong. He's saying "I'm a statistician, and you did the statistics wrong." I'm very curious if Langer ever responded to this, because the argument seems pretty black-and-white.