Technically you're right, but he "shared" the tip slot with a bunch of other top Outfit members.

Accardo basically wanted out of the day to day menutia of the Outfit. While guys like Giancana, Cerone, Aiuppa, and Alex took that role, Accardo was brought in on the bigger decisions up until his death.

I came, I saw, I had no idea what was going on, I left.