What irony? People want to have authorities that can be appealed to, so if you value epistemic rationality, just saying it's bad to appeal to authority won't work as well as capturing the drive: providing authorities who can be appealed to in order to support memes beneficial to epistemic rationality, including that it's bad to appeal to authority. If you leave the drive uncaptured, someone else can capture it.
It's ironic in the same way that adding the text "DEFACING STOP SIGNS" under the main text of a stop sign is ironic.
The method used is the very one which is being condemned / warned against, and the fact that it works better than other methods (in both examples) only adds to the irony, as one should assume that something that preaches not doing exactly what it's doing would invalidate itself, rather than its actual effect of producing greater results due to a quirk of humans.
Jason Mitchell is [edit: has been] the John L. Loeb Associate Professor of the Social Sciences at Harvard. He has won the National Academy of Science's Troland Award as well as the Association for Psychological Science's Janet Taylor Spence Award for Transformative Early Career Contribution.
Here, he argues against the principle of replicability of experiments in science. Apparently, it's disrespectful, and presumptively wrong.
This is why we can't have social science. Not because the subject is not amenable to the scientific method -- it obviously is. People are conducting controlled experiments and other people are attempting to replicate the results. So far, so good. Rather, the problem is that at least one celebrated authority in the field hates that, and would prefer much, much more deference to authority.