This episode is full of paradoxes.
1. The series, intentionally or not, became a Cold War allegory, like most Westerns at the time. It portrayed Crockett as a champion of the American way, a crusader against the hostile "other", despite Crockett's insistence in the series that he isn't like the other white men.
2. Furthermore, the series promotes the idea of rugged individualism, while also working for a system that the Creek chief himself said lied to his people, in the belief that his own system is good and sensible. Crockett was indeed an emblem of "manifest destiny" and yet his own individualism put him at odds with Jackson as a politician.
3. As a result, Crockett places himself on the moral high ground by not killing the Creek chief, while moments before he killed a warrior whose knife he would have been quick enough to dodge. That said, that is true to Crockett's nature. The real Crockett, despite taking little pleasure in fighting the Creeks, nevertheless participated in a brutal massacre at Tallushatchee, burning down a house with forty six warriors and their families inside. Disney accurately captured Crockett's sanctimonousness.
This series is intriguing if you look at the context of the time in which it was made. America needed an icon, an emblem of "freedom" and "justice", even when none existed, either in the 1830s or the 1950s.