A clever way to interpret the theme. That said, I'm personally not good at cryptic crosswords I find. I did manage to get 5 downs so far, but I suspect they are the easier to get ones. I only was able to solve one of the three parts of the first puzzle segment.
But that is a personal skill issue in general. Some clarity of instructions in the game itself might be nice, but I was able to read the description in the page to get that information. I do hope you get some better feedback from people who are better at that style of puzzles. It seems like a fun concept.