I liked Kohaku's paragraphs on the necklace; interpreting data and making logical conclusions from it is far more interesting than just stating something and hoping people just agree with you. She wanted to make a point and brought the goods to make her claim. Cheers!
Naruto may have (minor) plotholes here and there, but I don't think the necklace was one, too much story and time were dedicated to it.
Once the series is finished and we have seen and heard everything Kishi want's to tell us about the Naruto universe, then peruse and find plotholes. But to do so currently is premature in my opinion.
Tra la la la la! Why do I need a reason?