I like the controls as they already are; they add more challenge into the game apart from the puzzles. Maybe you could add the proposed controls as an option in the settings?
That's defo worth considering; it allows players who enjoy that little frustration of clicking a movement they didn't mean to retain the challenge but offers an option to get rid of that for other players. Thanks for the idea!
I guess the thing which we found hard in making the game is to what degree should the controls be a challenge? Do you want the player to have to repeat the level for control mistakes or do you want it just to be a puzzle about finding the solution? Also, allowing the players to avoid control difficulties makes teaching them complex interactions harder, like how riding on a car affects your rotation.