Game of Thrones TV Fan Theory Spoilers for GOT 6:5

Suppose that ‘time travel’ in Game of Thrones/ASOIAF is the kind where you can’t actually change anything (no free will) but merely fulfill what has already and always happened, but it seems as though our actions are willful rather than pre-destined?

My latest thing: Ned’s son Brandon Stark is Bran the Builder. He did these things in the past in response to events we see currently unfolding. From the GOT wiki Bran the Builder character entry (emphasis added):

“Bran the Builder was a legendary member of the First Men from the Age of Heroes, the founder of House Stark, and the first King in the North. Many famous structures are attributed to have been built under his direction, hence his nickname of “the Builder”, including Winterfell and most famously the Wall, which according to legend, he raised with the aid of giants. <...> According to legend, he advised Durran during the building of Storm’s End *when he was just a boy*. He’s also traditionally attributed to having granted the Gift to the Night’s Watch, though Maesters argue that it must have been a different King in the North also named Brandon.”

It’s has already happened, we have the incorrect perception that actions can affect them. “Are we are playing parts set in motion generations ago…?” (Tyrion paraphrase) In this scenario, yes…

Whadda ya think?