I can see Larry pulling a Bulger. Capo of the biggest crew in the family, who has watched Tony's behavior of putting his own blood family first instead of his crime family. He had a lot of motive to give the feds information, while staying in the streets. Think of this, he put the Willie hit on Jackie cause then that leaves Tony on the streets, if Tony went to jail or prison, New York would not be able to get to him maybe, or even Larry sending a couple of his soldiers to kill Tony. Killing Tony, he would have to kill Paulie as well. Larry had plenty of opportunities to kill Tony, but he does not seem like the character to get his hands dirty.