Not just that. Luffy is the new "Joy Boy" because the df makes him laugh. "Joy Boy"'s name, most likely, comes from the user of the Hito Hito no mi: Nika's laughter while having the fruit awakened.
It's more than just the Will of D.. Luffy is now "Joy Boy" because his df makes him laugh similarly.
I think a safe assumption we can jump to is in "Joy Boy"'s name. Joy Boy was definitely an eater/user of the Hito Hito no mi: Nika Model. If Luffy is a reincarnation of "Joy Boy", the name itself is hinted at by how Luffy acted in this chapter; he laughed the whole time. He was filled with JOY...