I used to think the same, but after reducing the entirety of the storyform down into a Narrative Argument for almost 400 individual stories now, I can tell you that the Crucial Element is everything. It’s a shortcut to the meaning of the story.
The Beast is 100% Control.
Belle is 100% Freedom.
“Who could ever learn to love a beast” implies a baiting or luring of one into affections. This touches on the Beast’s perspective as well as concerns in the Overall Story perspective.
As far as Hinder goes - we’re introduced to her as someone who always has her head in a book - physically “getting in the way” during the opening song, as well as obstructing other people’s plans for her (Gaston).