It takes a certain degree of hubris to sign on to a "Peter Pan" movie at this point.
J.M. Barrie's play/book/beloved cultural icons are enormously malleable as a story, and there are plenty of fans of the Walt Disney animated version as well as Steven Spielberg's "Hook" and even P.J. Hogan's "Peter Pan." All of those films tackle different parts of the iconography in different ways, and there have been some heavy hitters involved.
The Disney film is one of their best features, especially if you're just considering the old school Disney films, and I think it's one of the moments where the Disney animators got everything right. They'd made enough movies in a row by that point to have developed a shorthand, and a style, and a confidence. "Peter Pan" may have some unfortunate moments in terms of cultural sensitivity, but I would argue that the entire world of Neverland should feel like the way children view the world, in big broad strokes. Stylization is fine; insensitivity is not.