I think the showing of the invisible face is unnecessary, as the dice follows the usual rules of opposite sides adding up to 7 you can figure out the three missing faces from any view. Puzzle 7 represented a major difficulty spike for me. And the complexity of the patterns were long enough that it felt more like trying combinations rather than thinking out how to get through it, as it was too many moves in a row to position the dice correctly for me to calculate the moves in my head. At that point my enjoyment dropped a bit. Given more time I'm sure I'd build up intuition that for example a counter clockwise 2x2 rotation moves the faces in this way, but without lots of time investment that intuition just isn't there, so the later levels just feel like memorization and guesswork.
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You are right. In the early stages of writing levels, I always completed the level tests by guessing various combinations, but this was extremely inefficient and after a long period of events I gradually built up a decryption technique. But for players who haven’t played for that long, it can be maddening to keep trying. So I’m thinking of adding more interesting mechanics to the game in the future, rather than just using various spins to make up the levels.