I have never heard that the Irish were NOT mistreated after the wave of poor "shanty Irish" that came over as a result of the potato famine. My ancestor Demarius Brady arrived in 1830 or and somehow managed to own a plantation not far from Americus, GA. As soon as he had enough money, he sailed to Dublin, joined the Church of England and stayed there until he had attained the rank of 33rd degree in the Scottish Rite of the Masonic Order. He did this because he did not want to be confused with the poor Irish, many of whom did not speak English.
It was easier to be Irish in Georgia than in Boston or New York, because there were fewer poor Irish that migrated to the South.
It is no myth that the Irish were seriously mistreated.
It is also no myth that after then=y gained more respect, they mistreated the immigrants from Italy, Poland and Russia that followed them, though perhaps not to such a degree.
The Irish lynched a number of Blacks in NYC during the Civil War. They blamed the Blacks for Lincoln's draft laws.