And agreed that White Hat is most likely Maze Guy, and we're seeing the 30 years between the two incidents.
- We know White Hat has a liking for blue dress and Maze Guy mentions "after 30 years you still don't remember me"
- While we saw that Maze Guy exists in modern day time, I don't believe we've seen anything that links White Hat's time period to that of today
I have a feeling we'll see one point where White Hat comes back and chooses a Black Hat, being a sign of his turning. Mostly as a result for falling in love with Blue Dress. He is then trying to solve the maze as a way to save her and the others or something of that sort.
I also think the photo of the girl in NYC is White Hat's girlfriend back home. And in one of his trips, he brings that postcard into the world.