This is an incredibly interesting and inventive concept! It took me a few runs to wrap my brain around the timing mechanic, but once I got it down, it is incredibly satisfying to hop around. I do feel like some sort of reaction mechanic during the enemy phase would be helpful though, so that you can balance whether you want to wait to plan out your moves, or just go super quickly. As it is, I found that just hopping as fast as possible seemed like the best strategy. I would also recommend adding some sort of animation between hops. The instantaneous movement caused me not to realize whether any changes took place during the demo section, since the screen was in the same orientation after a jump that it was beforehand. But overall, if you iterate on these concepts, you will definitely have something truly special on your hands!