Very neat idea that I'd like to see expanded, but I'm not sure how well it fits the theme. You didn't really remove jumping, so much as add that everything else jumps when you do.
Thank you for playing and for your feedback. I see your argument and your are right in that we were not really pursuing the "not jumping" angle. One of the interpretations given when the theme was revealed is "a shooter where you cannot stop shooting" so we took that approach to the platforming genre and decided "what if everything jumps with you" so that now, obstacles that would otherwise be easy to jump over now you had to find another way to avoid them since they too jump with you. Sorry that this wasn't made clear but thanks again for playing :D