It's an improvement from the game jam version! The controls on the side make it more clear what's going on (even though they were cut off for me). Controllers not resetting after falling off can be very punishing when you have to repeat a larger section again without the possibility of controlling the character properly.
I also wish that the controls that I do get as a player were more precise. E.g. when i can only control left or right, those inputs should be without delay and in much smaller increments. It's not much fun in a difficult platformer when the character suddenly side dashes even though I just needed him to move a few cm. I think a stronger contrast between what I can control (precise movement) and what is out of my control (sudden movements) could benefit the idea.