The Cleveland Gazette, a black newspaper, argued the statue’s torch should not be lit “until the ‘liberty’ of this country is such to make it possible for an inoffensive and industrious colored man to earn a respectable living for himself and family, without being ku-kluxed, perhaps murdered, his daughter and wife outraged, and his property destroyed.”
This is a good point. Pretending like you're a safe haven for immigrants and the poor, all the while the people who are already living in your country are being mistreated just because they don't fit the "image" of what a hardworking American should look like is contradictory. And even within the realm of migrants there were inconsistencies. Migrants who were not from northern/western Europe were not valued as highly and often faced hatred from Americans who have been living in the country for much longer.