My personal read is that, in the book (if you haven't read it), these Native American stereotypes definitely show up. Walt, et. al. doubled-down on these stereotypes when portraying the group in the film (most acutely in the aforementioned song), and this ride is a depiction of that portrayal.
Peter Pan and Wendy tried to remedy this a bit in its treatment of the Tiger Lily plot, but unfortunately the film wasn't great and had a very limited cultural impact.
I can say with confidence that this work is not to convert Hook into his Jude Law depiction.