If the hat means nothing, then why did they put it in there? The hat alone does not mean much. However, it's an origin story. Think of it like a Greek myth on why there's dew on the ground. Might not mean much by itself, but if there's no dew before, and then there is dew, it has to come before all of these other stories that do have dew. The question is whether it actually is an origin story. But this is the only game where not one but two separate heroes have a tunic but no hat until Ezlo comes around. That to me speaks of intention. Unless you have another viable explanation.