I don't think the ending was true to the characters. For one thing, Jack's sudden desire to display Jesse in chains was absurd.
Initially I thought this was a bit weird too, but in subsequent viewings it seemed to fit with Jack's general contempt for Jesse. In particular, recall the scene where Jack and his boys view Jesse's confession and become so incensed by Jesse's perceived "cowardice" (and mentioning Todd's name), that Jack decides to kill Jesse because of it. By Felina, it is easy for me to see that calling Jesse "Jack's partner", would have been a major insult -- one that, I think, justified Jack's extreme response.