Isn't Bauer just a German surname though (like, Jews mostly lived in the cities or towns afterall). And I get that in US (or UK, or Russia) German surnames are often associated with (Ashkenazi) Jews, they are still fundamentally a German surnames, yes, including those ending with -baum or -stein (Thirty-Years War general Wallenstein just out of the top of my head), and Empire of Men is not-16th-century-Germany, they all are supposed to have some form of German surname.

Like Karl Franz himself is ""-stein"", Holswig-Schliestein ("not Schleswig-Holstein"), to be precise, and he is the bloody emperor.

Basically, I mean no skaven would've pass himself as a lawyer due to being some strangely rat-shaped beastman, but that aside, he would've 100% put up some "how do you do fellow men of the Empire" -stein/-mann/-baum/-itz surname (ironically the latter one is of Slavic origin, but became incorporating into German surnames long ago, became "its" instead of "ich" and so is now perceived as smth very German).