Faking his own death may fool his friends, it may fool the detectives, it may even fool the chief of police
But if Kanoko is all she is cracked to be, she will realize that Tateo conveniently showing up dead as a charred and hard to identify corpse is too good to be true
It would be really weird if after getting glazed for the whole manga, and getting away with all shorts of convenient bullshit, she goes and falls for such a ruse