It sure seems that way if everyone played their cards right. I couldn't see certain factions of the Lansky interests (Mafia) watching a cash cow degenerate to the point of losing it completely. I could see the American La Cosa Nostra "replacing" Batista with a more accommodating leader if he wasn't towing the line. I didn't mean to say there was nothing growing under Batista. They created a major tourist attraction with every luxury one could imagine - no doubt. I totally agree that history would have been very different if it survived and thrived. Cuba could have been the "sixth borough"! NYC Families would have had the Cuba gambling/vacation mecca and Chicago had Vegas... maybe that was the ultimate mafia plan?
