It was less "Giancana may talk" than "Giancana may try to regain his power". Aiuppa and Cerone were newly in power and weren't taking any chances. Accardo consented and that was that.
no doubt your right snakes, and I also think there was no love lost between cicero, and taylor street. aiuppa being cicero. and cerone being Elmwood park [ grand avenue ]
and most important of all and you yourself posted, that without ricca behind him. mooney was vunerable.