The Complexity of the Reticulum

It's not just about the amount of moves, but how many moves are legal because say if you cannot turn off both bulbs at the same time, that reduces the variety of the problem. And what I feel I can go, you have way more moves you can make compared to chess. The game board state can change so much and go based on the sort of flexibility of the rules,. What legal moves you can made. Do I understand enough? Is there more to know than that? Or is that you know what I'm saying?