The idea that "popular narrative" on minimum wages "turns out to be wrong" because it's not paid attention to "replication" is just wrong. There are tons of replications in minimum wage research. And not just replication, but new research that extends the analysis. Just because a one team wants to critique a paper doesn't make it a "replication failure." The good news is we have a thick literature on the topic at this point. And that body of research strongly shows that to date, minimum wages have raised wages without causing much change in employment.