The idea is brilliant, interesting to see how would you expand it.
For the feedback: player controller is very unsatisfying, jump/move feels too rigid and not alive, I would say it's the number one thing to improve. Also aiming is so unintuitive, at first I just confused why he aims only in one direction, and only after few deaths I got that it's aiming in the last movement direction, but with this it's very hard to aim and shoot opponents, (shoot midair is almost impossible)
Well done, wish you best with the concept.