I wonder if that's just journal style? Some of the P values in the paper are significant at levels that would survive almost any amount of multiple testing cor

I wonder if that's just journal style? Some of the P values in the paper are significant at levels that would survive almost any amount of multiple testing correction. E.g., in Table 3, the P value for DairyCheese is P=1.3E-139. While I agree that the "strength" of the P value is not the thing of interest (which is, generally, the magnitude of the effect), the probability that you'd see results like this if there was no relationship between transaction size and the dairy category is ~0.