Everything you said about Torrio is literally true, Turi! Neither he nor Capone was able to forge a modus vivendi for the gangs of Chicago, which became the most gang-violent city in America. Torrio was sophisticated and a forward-looking thinker, but Capone forged a much bigger empire.
The rumor about Lansky, Torrio and the Commission stemmed from the famous 1929 Atlantic City gangster convention, which they attended. Lansky and Torrio are usually credited with being the organizers. However, the prime mover was Abner (Longy) Zwillman, New Jersey's biggest gangster and the top rum-runner on the East Coast. Zwillman had legitimate interests all over the place, too. He was one of the most under-estimated gangsters in US history.