One source of confusion is that a lot of 'immigrants' on the Titanic were not first timers to America. Zinni/Zenni/Leeni himself had arrived in America in 1906 and worked for 3 years but without receiving American citizenship. He later returned to his native Syria to get married and start a family before returning to the USA on the Titanic. Therefore, he was in a sense an unofficial Syrian-American and got his official US Citizenship only in 1924.
Another 3rd class male survivor, Juho Niskanen, has a life and death story surprisingly similar to Zenni. Like the other man, Niskanen had lived and worked in the US for 3 years before returning to his native Finland to marry and start a family. He was returning alone on the Titanic, like Zenni with the hope of settling himself before arranging his family to join him. Niskanen managed to find a place in Lifeboat #9, one of only two 3rd class passengers on that boat. But unlike Zenni, Niskanen never properly settled down after his return to the USA, never made enough money to be able to get his family to join him, developed mental health problems, had several brushes with the law (like Zenni) and finally set fire to his cottage and shot himself to death in 1927, the same year that Zenni died.