Except that trees, castles, and abstract engineering marvels are things that can be huge in real life, and are therefore effective at being icons for the real-life environments that all Disney parks imitate.
Animal Kingdom/the Oasis is a portrayal of a natural paradise - a giant tree would fit realistically in that place
Magic Kingdom is a kingdom of storybook fantasy - a castle fits in as a realistic part of that theme
Epcot's Future World is a modern showcase of human progress and the marvels of the modern age - Spaceship Earth, as an engineering marvel and abstraction of the earth, fits in perfectly with that
DHS and Hollywood Boulevard - a recreation of the glamor of Hollywood in its heyday, the 1930s and 1940s. The Chinese Theater fits in with that... a massive blue sparkling hat sitting in the middle of the street does not.
The Sorcerer's hat may be an image from a Disney film from 70 years ago, but Disney's greater accomplishment is its perfection of the art of the theme park, and their ability to create depictions of environments from history, from fiction, or from our imagination. In DHS's case, that environment is classic Hollywood, and IMO the Chinese theater is far more successful at creating that environment than any BA hat.
My solution: move the Earful tower out to the front entrance, in front of the turnstiles. There it will be an effective icon for those driving up to the park or arriving by boat. The Earful tower would be the icon for approaching the park and for merchandising, and the Chinese theater would be the "weenie" that would draw you down Hollywood Blvd. and establish the theme of the street. So they would be co-icons.
The BAH would be moved to be the icon of Art of Animation, where it would fit in with the other giant icons from animated movies.