When Jodie and Cooper are at the Brodway dance studio, at the very end when they're doing the fuetay, (turns) her hair keeps looking like it falling down, but in her very next turn its back up again, next turn falling again, next turn perfect again, and so on and so on...
Yes I see this slip-up too but, a little correction to your slip-up. They aren't doin fouette's they are doing inside-outside pirouettes. There is a difference, fouette means whip in french and in these there is no whipping motion, notice how their foot goes down after every turn. A pirouette on the other hand is a 360 degree turn on one foot while the other is in passe'... which they are doing.