It is my understanding that many Jewish names were picked by German border officials who couldn’t pronounce the strange names from more-eastern countries such as Poland. They were often derisory for the Germans’ own amusement, such as Weisskopf (Whitehead) for especially dark people. or Goldman for especially poor and ragged immigrants, or Rosenblum (Rose-flower) for an especially smelly individual, etc.
The name change is NOT restricted to just the Jews. Watch Godfather II and see how Vito ANDOLINI leaves Ellis Island named Vito Corleone. Renamed by an immigration clerk as were millions of European immigrants.
I had a Polish uncle, one of six boys. They emigrated one at a time. Six Polish young men left Poland with their family name. Six Polish young men left Ellis Island with SIX different names. They were never able to correct the changes.