IMO it wouldn't make much sense if the mafia knows the role of people they kill. The way I see it is that nothing at all is revealed when a person dies, so not even the mafia would know. We might as well check this with the mod to prevent any assumptions. mod: does the mafia know the role of people they kill?
We also have to keep in mind that if JInxy really is a cop, he can only find one person, namely Lyby, cause the other mafia is a godfather. So now that he did find the one mafia and there's no independents, he's just like a vanilla townie. It's kind of odd that he waited to claim then, because if he really is a cop it's no use checking people anymore, and IMO an insane cop here would break the game
If JInxy isn't the cop, then he's probably setting up to mislead us for the whole game. They would have had to kill the real cop N0 though. Then they would to have to know who the census taker via rolecop so they can kill him/her the next night, because otherwise the census taker can just figure out if we lynched a mafia or not. They would also have to know who the coroner is because otherwise the coroner could help us figure out who is mafia. So they would have to know 3 roles by N0 (cop, coroner, census taker), which is impossible. There is a chance they just randomly accused the coroner D1 so they would only have to know 2 roles N0, but that would require luck.
Meanwhile, if Lyby isn't really the Coroner, we have both the real Coroner and the census taker to help us figure it out. Since that would mean JInxy is a cop, the only way Lyby could get away with it is if they killed the census taker and coroner N1 and N0, and they would have to know they killed the coroner and who the census taker is via the rolecop. So they would only need to know 2 roles by N0.
So currently we should wait for another Cop or Coroner to cc. If not, JInxy's fakeclaim would be impossible to pull off without luck, so we should probably lynch Lyby IMO. (Then again Lyby's possible role is currently more powerful, since JInxy's possible role is now a vanilla townie, so it is a game of odds, but as I said, JInxy's is impossible without luck)