Barbie is a movie that talks about existentialism. We have Ken and Barbie having their personal journeys that are connected and simultaneously polar opposites. The film has some plotholes and some scenes and segments that don't make sense and don't have that much of an effect on the story. The mother/daughter relationship was really poorly executed even when they "patch" things up, but it's just that the daughter is a girl that listens to Western media and says that Barbie set back women 50 years back. I love the Ken revelation and his genesis.
What horses represent in this film is something few notice. Horses always represented strength, freedom, dignity, and respect, and how the world views them, even though they are the foundation of human civilization, is disgusting. But Ken finds his freedom in them, he finds himself in those horses. It's not about patriarchy it's about horses and how people view themselves as horses.
Besides the horses which you can talk about for 5 hours, the Mattel segments and the humor in it is perfected in a sense for me. Its easily understandable even for kids (unlike other segments and plot points i.e. horses, barbies, and kens journey to personal enlightenment), but there is a problem, this raunchy humor gets you to one point, and what they did with this humor which later reflected on the whole film and story made the movie misunderstood and to be realistic, made the film more mature.
I think children shouldn't watch this movie and even if they did I think they wouldn't like it because they wouldn't understand it.
And finally, I really like that this film just focuses on matriarchy and patriarchy and not new Hollywood themes like race, multiple genders, and sexual orientations, and talks about a real problem that we have the whole history of humankind.