During the time when Lucky was deported and Costello was considered the official boss of the family....was Lucky still receiving an overall cut of the family's profits, like a don?

According to Tim Newark's biography, Joe Biondo was the go between with the family and Luciano. He brought Luciano his slice of the profits and discussed mob related matters with him. Costello was paying Luciano money, one payment reached $70k. And during this time, Luciano was receiving trans Atlantic phone calls from Costello, Adonis, and Mangano. I believe that Lucky was recognized as the head of the family at the Havana meeting.

Is it possible that until 1957, Luciano was still at the top of the crime family in a low key fashion, similar to Accardo/Ricca in Chicago?