In "Havana Nocturne", the author T.J. English very strongly implies that it was Lansky, not Trafficante, who was most threatened by Anastasia's moves into Cuba and Lansky who had the most to gain by Anastasia's departure from our planet.
I read this book, too, and they made a convincing argument. It wasn't Lansky's idea as Genovese and Gambino already had already hatched their plot. But I'm sure they heard of Anastasia's trip to Havana and his intentions on muscling in on Lansky. And when they got his approval, then Albert was history.
I understand that the majority opinion is that Lansky wasn't involved, but I can't overlook the battle in Havana and the timing of Anastasia's death.