It continues to baffle me that Joanne Rowling is a de facto Leftist, because she was and is a very good psychologist, one able to work at a mythic level. This is the underlying reason for her phenomenal success. It would not be overstating the case much to say that she created a secular religion. Not infrequently, I see the Deathly Hallows on cars in the place a Christian fish or cross might have been.
One aspect I would invoke is that Harry got many clues from Dumbledore, but he was never told how to assemble them, or how to find those that were still missing. So much of life is like that. We have the sense that there is something in front of us we should be understanding, something we should be seeing, but quite often progress consists in simply taking swings in the dark and hoping for the best. And the best is sometimes what we get when we do.
And it seems to me that mysteries exist on many levels. There are mysteries within mysteries. Perhaps spiritual growth comes in graduating to higher and higher levels of incomprehension.