To take this further, to the point of absurdity: if you subscribe to the split personality theory, what is the point of Eve's "confession" of it?
Two possibilities:
1. She is simply unable to control the split personality until she is "caught," at which point she confesses to a completely different and incoherent account because she's flatly crazy.
2. She is in complete control of her split personality, wilfully spinning an elaborate account and seeding clues throughout it so that when she is "caught," it will all make enough sense to an outside viewer that she can tell a coherent story that will get her off the hook. If this is the case, she makes mistakes and errors throughout her testimony on purpose so they will make sense in retrospect. Oh, and she's an evil mastermind.
In case 1, she's a crazy person who killed her husband out of craziness, nothing she says has any meaning, and everything has to be thrown out. Everything you watched was pointless, she's beyond insane, game over.
In case 2, she could have got away with it if she hadn't deliberately implicated herself through mistakes and errors, so why did she choose to do so as an evil mastermind? More importantly and prior, why did she kill her husband in the first place?