I do like the story, but the reason most discussion is about the gameplay and puzzles is that the story feels secondary. The puzzles are very difficult and take a lot of practice to succeed in, while the story seems to just happen in the background. If you wanted the story to be more prominent, maybe have there be day time puzzles and areas that interact with the dreams and make the dreams more directly linked to the story.
These are just some ideas but it is simply the case that the puzzles take more attention than the story