Hahahaha, what?
Disney and Fox specialize in very specific moviegoing genres that appeal to specific audiences, and that’s fine, but don’t pretend Disney is the leader in all types of films. Nor should they. That’s an absolute absurd assessment to make.
Disney will never, and should never, be the leader in theatrically horror films. Universal is the clear champion in that genre.
Disney will never be the leader in experimental, art house filmmaking. You will never see Disney take creative risks like Midsommar, Hereditary, Annihilation, Mid 90’s, Room, Moonlight, and such. Boutique studios like Neon and A24 own those markets.
Disney is largely absent from the awards season circuit, outside of technical awards and animation. Universal, Paramount, and WB are much bigger players. Hell, not counting the token nominations after the Academy expanded the Best Picture nomination total, it’s only ever been nominated once.
You can’t just say Fox covers all the other territory that Disney doesn’t want to tarnish its name (like Touchstone) with rated R films.
Disney and Fox have the market mostly surrounded in family entertainment, musicals, sci-fi, animation, and superheroes (along with WB). But they are far from the leader in every type of film, nor should they be.