This is a neat idea! There's a lot of symmetry in these puzzles and I think I'd consider trying to reduce the size of the puzzles to their smallest idea. Like on Level 4, I might get rid of 2 of the 2x2 corners (But keep the central loop).
Thank you for your feedback! Unfortunately I have a bad habit of making my puzzles symmetrical - it's just how my brain seems to work! I also tried modifying Level 4 the way you suggested: however, I found the level can now be beaten with just 3 moves per turn and felt like the new version isn't distinctive enough from Level 3 so I chose to leave it as it originally was.