I am confused about that exactly you were trying to do and what you did.
Two general points:
- Moon+ supports .mobi but does not support .azw3.
- Kindle for Android (K4A) requires that the books be in one of a very short list of folders, IIRC "/kindle", "/Android/data/com.amazon.kindle/files", and in some cases "/Books". CC won't attempt to launch K4A on an amazon format if the book is not in one of those folders.
Thus, if you moved the Amazon-format books from their "natural" home then K4A wouldn't open them and CC would not launch K4A. If the books are azw3 then Moon+ won't open them either.