I wonder if this is like the Bible Codes and that sort of thing - if you look for patterns you eventually find them - and then you explain away any discrepancies when they don’t fit your theory.
I'm inclined to believe the story and the implications as presented. The characteristics of the tiles can be mathematically proven or disproven to be something that is not geometrically regular. That's not the same as throwing enough of them together to eventually find any kind of picture you want.