One last point while I'm on a roll here. Lol.
After Carlo became the boss, he installed Joseph (Joe Bandy) Biondo as his underboss, and Joseph (Staten Island Joe) Riccobono as his consigliere. Do you think those two guys, and the people who backed them, would have ever allowed Gambino to ascend to boss if they did all the plotting and work? Especially if Gambino wasn't involved in the plot from the get-go?
I think not my friend!
Thats like John Gotti, Frank Locascio, and Sammy Gravano killing Paul Castellano and then handing over the hierarchy reins to the likes of Danny Marino or Nicholas Corozzo. (Ain't never gonna happen). Not in this lifetime at least....I rest my case!