The Mii Brawler's design and costume represent Tifa Lockhart, a female brawler who specializes in hand-to-hand combat.
The Mii Brawler's black Protective Gear and white pants, without DLC, is an inverted color scheme of Tifa's white shirt and black shorts.
The stage represents Nibelheim, the hometown of Tifa which was burned down and destroyed by Sephiroth in Final Fantasy VII.
The Attack Power ↑ and Move Speed ↑ rules reference how Tifa has the second-highest strength stat and highest speed stat in Final Fantasy VII Remake.
The Mii Brawler's moveset reference Tifa's Limit Breaks, which includes Beat Rush (represented by Flashing Mach Punch and Onslaught), Somersault (represented by Soaring Axe Kick), and Waterkick (represented by Feint Jump).
Other trivia:
This spirit's Fist Attack ↑ ability further references Tifa's hand-to-hand combat moveset and her high strength stat in Final Fantasy VII.