The OP question of whether not Funzi Duped Chin - Based on what Leonetti says in Mafia Prince the answer is No.
According to the book, Manna asked Scarfo if there were problems down in Philly with Bruno would he be with Manna? Or something like that. Basically Manna tipped his hand to Scarfo that someone wasn't happy with Bruno.
So, by deduction, because there are no facts- Manna and tieri knew. Therefore Chin and Salerno knew
Wait a minute: IF we believe the book, then Chin allegedly wasn't on it, otherwise why would he be surprised and ask Tieri "what is he talking about, Frank?" during their interrogation of Caponigro, while discussing the Bruno murder? I mean, there was no need to pretend, they were alone in the room in 4: Caponigro, Tieri, Gigante and Manna. If Gigante was on it, he could well admit it in those circumstances and tell Caponigro "we just duped you into killing Bruno but you will pay the price because nobody is going to know or believe you anyway".