This is a neat puzzle concept. I think the execution here is a bit rocky though, particularly in the level design.
I think your levels get much too difficult too quickly, especially as players are just becoming used to the mechanic. Additionally, the levels seem to contain lots of red-herrings, areas which are present in the level, but should never be entered during a correct solution. This makes your puzzles feel more like a multiple choice question ("Which of these 4 paths is the one that works") than a true puzzle, where I have to consider what's available to me and how to use it effectively.