The concept is different: crown means the hat and car cover of ancient officials. Bao Gai refers to the umbrella cover of Buddhism or imperial ceremonies, and Gai Hua is an umbrella-shaped top cover driven by emperors or a noble car.
The source is different: the crown comes from Historical Records Biography of Wei Gongzi: "The crown belongs to Wei." Bao Gai comes from Jian Wendi's Ode to Bodhi Tree in the Southern Dynasties: Bodhisattva flies like an elephant, and the more fragrant it is, the more it comes. Five hundred treasures cover it, and the light is closed. Gai Hua is from Han Shu. Volume 99. Biography of Wang Mang: Take soldiers as generals, cover them with Jianhua, and make contributions.