I don't know - I'm sure the defense would fight it tooth and nail, but consider this: would a tape recording of the same statement carry any weight? Of course it would - it's only circumstantial, of course, as a tape recording can't be cross-examined, but it still exists. I've read that, in this case, the parrot's vocalization is clearly in the deceased's voice (our CAG says many things, always using the specific voice he learned it in, and it's abundantly clear whose voice it is). It might still have value as circumstantial evidence, albeit with less weight than, say, a tape recording.