I think that Roth did have an organization. The character was based on Lansky, who also had an organization. It wasn't as flashy as some of the other families but it was , at least during the fifties and sixties, as powerful as some of the better known families.
Lansky never had an organization of any substance because he didn't need one. He had partnerships with the most powerful men in organized crime. As long as they made money together, their organizations supplied Lansky with capital, protection--and muscle when needed. He and Charlie Luciano were like brothers throught their lifetimes. Though Lansky didn't sit on the Commission, he sat with the Commission, advising and making allies of the other Dons. For example, when he wanted to move slot machines into New Orleans, he brought Frank Costello on as a partner. Costello's presence helped smooth things over with Carlos Marcello, the Mafia boss of Louisiana. And while Batista put Lansky in charge of Havana gaming, he made sure to bring Santos Trafficante, the Mafia boss of Florida, as his partner. Trafficante, in turn, protected Lansky's gaming empire in Broward County, FL.
Lansky had a Mafia partner who was at his side for many years--Vincent (Jimmy Blue Eyes) Alo, the model for Johnny Ola (the name is an anagram). But Alo wasn't a toady like Ola--he was a real partner. Alo's closeness to Lansky was a physical reminder to independents and wayward Mob types that Lansky was protected by the Mafia.
According to Lansky's biographer, Robert Lacey, Lansky's
modus operandi contributed to his longevity (81) and peaceful death: he never held the physical assets or army of gunsels that would have engendered fear and jealousy among Mob bosses--and that would have made them want to whack him.
