Correct me if I'm wrong, but this game takes many inspirations from SSB. It's definitely a game form that works better with a controller, as the precise movements allowed by analog inputs would give both more control to the player, and more creative room to work with for the developer.
From what I've heard and seen, platformer-fighters like SSB are very hard to design, so attempting something like that solo in a 4-day game jam definitely deserves respect. I can tell you have a good understanding of the systems in place for a game like that. Cool submission, glad I got the chance to try it!