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