Wasn't there a gag like this in the manga as well? Kakashi says he's starting to like Naruto (impressed that he was doing well) and Naruto freaks out because he thinks he's hitting on him. In the movie, if I remember correctly, others comment how close they are and Naruto freaks out while Kakashi chases after him.

If anything it's like Naruto protest too much. Always did think Naruto was more into Sasuke than he ever was with any girl lmao.