I remember My Complex. I played the first game once, back when it was still a browser game. Though I did still find a functional version up on one site.
I have to wonder if it has been a while since you played the Mu Complex, as apart from one puzzle, there aren't many similarities between the games. Except for them being text-based puzzle games (as opposed to text-based adventure games), naturally. I don't think they can have monopoly on an entire genre. That said, I don't know if the second game happens to have more levels which are similar, since I've never played it.
However, there is one puzzle which indeed is similar to one of Mu Complex's levels, but they did not invent that sort of puzzle either, nor did I draw inspiration from it; that type of puzzle has probably existed for thousands of years.
I'm glad to hear you liked that .- puzzle, as that's probably the level that took the longest to create, for several reasons.
Also, the story and music making up 66% of the game, I'm happy that you enjoyed them :)
As for the fade-sequences, I get what you mean. But I also know that the majority of the players enjoy the game precisely for the atmosphere, while the puzzles are the actual gaming aspect of the game. The game being what it is, I choose to sacrifice a bit of conventionalism, in order to achieve other aspects such as good atmosphere. Which one is more important is of course, subjective. But seeing as the fading sequences cost you less than even one minute during the duration of the entire game, I think it's probably acceptable.
I hope that you're satisfied with those explanations!
Thank you for playing and for letting me know your thoughts! :)