I'm another that often gets a twist in the final binding tail. One time I ripped out and redid that final seam five times before I got it right! First the twist was on this side, then the other side twice, then the first side again....Sheesh. I should have quit after the second rip out and come back to it the next day, which is what I usually do. That day I was really stubborn, I think I was on a too-close deadline (like the next morning, lol).
I recently discovered the Magic Binding tutorial on YouTube, and when I follow it to a T I have no more twists. Those ladies tell you specifically: open up the right side tail face up, open up the left side tail face down. I have used this method more than a dozen times (because I made 10 mock ups for a demo at my guild) and have not had one twist yet.