He’s young, and the chapters from his perspective reflect a child’s understanding and interests.
He’s a knight-stan. It’s logical that a youngster in a medieval era would love the warriors and know their names by heart. This child, though, is clearly a Body Type. He climbs because he must.
When he and Robb receive Sansa’s letter proclaiming Ned a traitor, Bran cuts to the chase: Sansa lost her wolf. If the children and their wolves share a bond, then Sansa’s was broken, she was broken, against her will. (Nymeria runs free with Arya’s permission.) What a great insight — and a glimpse of the wisdom Bran will have — as to why Sansa would weaken.
He has a chance to study as a Maester, a vocation he’d excel at, but turns it down. It has no magic, and that’s what he wants. He wants to fly. Again, Body Type. He wants to ride out like Robb and hear the cheering. It’s the image of trotting rather than accolades that moves him. More than his body is broken by the fall. His inner self, his connection to life as a Body Type, is broken. If that can be rebuilt it will take a while.
I don’t think he has the vitality of an Eight. Nine or One? He’s a natural diplomat with no love of accounting. Nine.