The specific case of the Milwaukee results was also examined by Professor Boud Roukema of Poland’s Nicolaus Copernicus University. Roukema considered the application of Benford’s Law to the 2009 Iranian elections (arxiv.org/abs/0906.2789) . He told Reuters by email: "A major flaw in applying Benford's law to the Milwaukee results is that the logarithmic distribution - how many "powers of tens" there are - in the numbers of votes per ward in Milwaukee is very narrow. In other words, half of all the wards have total votes from about 570 to 1200, and the logarithmic average (mean) is about 800.
“Biden overall got about 70% of the votes in Milwaukee. So the most likely vote for Biden (in the simplest model, assuming no falsification) in a typical Milwaukee ward is something like 0.7 times 800, which is 560 votes. We expect about half the Biden votes to lie between about 400 and 850 in typical Milwaukee wards.
“So the most popular first digit of the votes for Biden should be 5 - the first digit of 560 - and 4s and 6s and 7s should also be reasonably frequent.
“This is just what we see in the blue vertical bars in top left figure in the diagram at (here). So Benford's law reasoning, applied to the real data, shows no reason to suspect fraud here.”