In the film, he hemms and hawws, and can't make up his mind of whether or not he wants to be king, but he never actually articulates a single reason for why he would not want to be one.
The film:
* Expects the audience fill in the blank for why he doesn't want to be a leader.
* Tries to make him more sympathetic as a leader, by turning him into a reluctant leader, as opposed to a guy seizing power because... Something something nobility, something something hereditary monarchy is how things are done in Middle Earth, but doesn't fly super-well for modern audiences..?