I did many runs getting to the bottom without remembering the bat mechanic, but once I did I had fun. I especially like the whole "self made race" at the end while going up. I do think resources should carry over between days, both for game and narrative reasons.
Props to the music too, very catchy. I did have one issue, which is in fullscreen you exit with ESC, but the game also uses ESC. So I had a moment where I was stuck trying to unpause.