Let me speculate a bit about Fukino’s underlying motivations.
I think it’s extremely doubtful that she would insert clues into her statement in order to help investigator figure out that Obama was a fake.
In the first place, Hawaii is a very liberal state, and has been since its admission to the Union. In the second place, the last thing in the world she would do is to cross Obama or get on his bad side.
I think her motivation would be to help Obama, or at least not to offend him. But her motivation would also be to cover herself against criminal charges if the truth ever came out. So she cannot afford to tell an outright lie. She has to be extremely careful what she says.
I would imagine that both her statements were worked over extremely carefully to avoid potential problems for herself—to avoid angering Obama, and to avoid being caught lying about an official and extremely important matter.
Good points...cya. She's being as honest and truthful as she can without violating law.